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

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

Simplifying
(x + 2)(x + -3) = x2

Reorder the terms:
(2 + x)(x + -3) = x2

Reorder the terms:
(2 + x)(-3 + x) = x2

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

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

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

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

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

Solving
-6 + -1x = 0

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 + -1x = 0 + 6

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

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6