x^2+2x=2(x+32)

Solution for x^2+2x=2(x+32) equation:

Simplifying
x2 + 2x = 2(x + 32)

Reorder the terms:
2x + x2 = 2(x + 32)

Reorder the terms:
2x + x2 = 2(32 + x)
2x + x2 = (32 * 2 + x * 2)
2x + x2 = (64 + 2x)

Add '-2x' to each side of the equation.
2x + -2x + x2 = 64 + 2x + -2x

Combine like terms: 2x + -2x = 0
0 + x2 = 64 + 2x + -2x
x2 = 64 + 2x + -2x

Combine like terms: 2x + -2x = 0
x2 = 64 + 0
x2 = 64

Solving
x2 = 64

Solving for variable 'x'.

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

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}