(x+2)(x-1)=x^2+x-2

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Solution for (x+2)(x-1)=x^2+x-2 equation:


Simplifying
(x + 2)(x + -1) = x2 + x + -2

Reorder the terms:
(2 + x)(x + -1) = x2 + x + -2

Reorder the terms:
(2 + x)(-1 + x) = x2 + x + -2

Multiply (2 + x) * (-1 + x)
(2(-1 + x) + x(-1 + x)) = x2 + x + -2
((-1 * 2 + x * 2) + x(-1 + x)) = x2 + x + -2
((-2 + 2x) + x(-1 + x)) = x2 + x + -2
(-2 + 2x + (-1 * x + x * x)) = x2 + x + -2
(-2 + 2x + (-1x + x2)) = x2 + x + -2

Combine like terms: 2x + -1x = 1x
(-2 + 1x + x2) = x2 + x + -2

Reorder the terms:
-2 + 1x + x2 = -2 + x + x2

Add '2' to each side of the equation.
-2 + 1x + 2 + x2 = -2 + x + 2 + x2

Reorder the terms:
-2 + 2 + 1x + x2 = -2 + x + 2 + x2

Combine like terms: -2 + 2 = 0
0 + 1x + x2 = -2 + x + 2 + x2
1x + x2 = -2 + x + 2 + x2

Reorder the terms:
1x + x2 = -2 + 2 + x + x2

Combine like terms: -2 + 2 = 0
1x + x2 = 0 + x + x2
1x + x2 = x + x2

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

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

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

Solving
1x = x

Solving for variable 'x'.

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

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

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

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

Simplifying
0 = 0

The solution to this equation could not be determined.

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