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

Equation Solver - dCode

Tag(s) : Symbolic Computation

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⮞ Go to: Differential Equation Solver

⮞ Go to: Boolean Expressions Calculator

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

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.

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`

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

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`

Add an additional line which will act as an complementary equation.

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

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.

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.

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,

- Equation Solver Calculator
- Solve a Differential Equation
- Solve a Boolean Equation
- What is an equation? (Definition)
- How to solve an equation?
- How to solve multiple equations?
- How to solve multiple equations with multiple variables?
- How to check an equality?
- How to add an interval or a domain of resolution?
- How to solve an equation step by step?

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https://www.dcode.fr/equation-solver

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