(x+2)(x-3)=2-x

Solution for (x+2)(x-3)=2-x equation:

Simplifying
(x + 2)(x + -3) = 2 + -1x

Reorder the terms:
(2 + x)(x + -3) = 2 + -1x

Reorder the terms:
(2 + x)(-3 + x) = 2 + -1x

Multiply (2 + x) * (-3 + x)
(2(-3 + x) + x(-3 + x)) = 2 + -1x
((-3 * 2 + x * 2) + x(-3 + x)) = 2 + -1x
((-6 + 2x) + x(-3 + x)) = 2 + -1x
(-6 + 2x + (-3 * x + x * x)) = 2 + -1x
(-6 + 2x + (-3x + x2)) = 2 + -1x

Combine like terms: 2x + -3x = -1x
(-6 + -1x + x2) = 2 + -1x

Add 'x' to each side of the equation.
-6 + -1x + x + x2 = 2 + -1x + x

Combine like terms: -1x + x = 0
-6 + 0 + x2 = 2 + -1x + x
-6 + x2 = 2 + -1x + x

Combine like terms: -1x + x = 0
-6 + x2 = 2 + 0
-6 + x2 = 2

Solving
-6 + x2 = 2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + x2 = 2 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = 2 + 6
x2 = 2 + 6

Combine like terms: 2 + 6 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}