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Equation Solver

Tool/solver to resolve one or more equations. An equation is a mathematical expression presented as equality between two elements with unknown variables.

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Equation Solver -

Tag(s) : Symbolic Computation

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# Equation Solver

## Equation Solver Calculator

 Solving Domain Set ∈ ℝ (Reals R) ℤ (Integers Z) ℂ (Complex C)
 Result Format Automatic Selection Exact Value (when possible) Approximate Numerical Value Scientific Notation

## Solve a Boolean Equation

### What is an equation? (Definition)

An equation is a mathematical equality between 2 elements distributed on each side of the equal sign, each of which can contain variables/unknowns.

### How to solve an equation?

dCode calculator can solve equations (but also inequations or other mathematical calculations) and find unknown variables. The equations must contain a comparison character such as equal, ie. = (or < or >).

Example: $2x=1$ returns for solution $x = 1/2$

dCode returns exact solutions (integers, fraction, etc.) by default (for linear and nonlinear equation systems), if the equation contains comma numbers then dCode will return a solution with decimal numbers.

Example: $2x = 1.0$ returns for solution $x = 0.5$

To solve a cryptarithm (replacing letters with multiple values between 0 and 9), use the dCode cryptarithm solver.

### How to solve multiple equations?

Equations can be combined with the and (logical conjunction) operator: && or or with a line return between each equation.

Example: The equation system of first and second degree 2x^2+1 = 3 && 3x-1 = 2 gives x=1

### How to solve multiple equations with multiple variables?

To solve an equation system, equations have to be separated with && or . Variables have to be listed and separated in the variables input box.

### How to check an equality?

Use the dedicated tool to check an equality or else, enter the equation and click on solve, the solver will answer true if the equality is checked whatever the variable (there are an infinite number of possible solutions for the variable).

Example: 2n+18n+4=2(n+9n+2) is TRUE for any value of n

The solver will return false if equality is not possible (if there is no solution for the variable)

Example: 5(x-7)=3(x+2)+2x is FALSE for any value of x

### How to add an interval or a domain of resolution?

Example: $x^2-2 = 0 \ \&\& \ x > 0$ if the equation is valid only on $x > 0$ strictly positive numbers.

### How to solve an equation step by step?

The calculation steps of the solver are not shown because they do not correspond to the steps a human would make. The operations performed by the solver are binary calculations bit by bit very different from those of a resolution by hand from a mathematician.

## Source code

dCode retains ownership of the "Equation Solver" source code. Except explicit open source licence (indicated Creative Commons / free), the "Equation Solver" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Equation Solver" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Equation Solver" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.

## Cite dCode

The copy-paste of the page "Equation Solver" or any of its results, is allowed as long as you cite dCode!
Cite as source (bibliography):
Equation Solver on dCode.fr [online website], retrieved on 2022-11-28, https://www.dcode.fr/equation-solver

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