x^2+x-3=x

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Solution for x^2+x-3=x equation:


Simplifying
x2 + x + -3 = x

Reorder the terms:
-3 + x + x2 = x

Add '-1x' to each side of the equation.
-3 + x + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
-3 + 0 + x2 = x + -1x
-3 + x2 = x + -1x

Combine like terms: x + -1x = 0
-3 + x2 = 0

Solving
-3 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x2 = 0 + 3
x2 = 0 + 3

Combine like terms: 0 + 3 = 3
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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