Equation Solver

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.