(x-3)2+8=0

Solution for (x-3)2+8=0 equation:

Simplifying
(x + -3) * 2 + 8 = 0

Reorder the terms:
(-3 + x) * 2 + 8 = 0

Reorder the terms for easier multiplication:
2(-3 + x) + 8 = 0
(-3 * 2 + x * 2) + 8 = 0
(-6 + 2x) + 8 = 0

Reorder the terms:
-6 + 8 + 2x = 0

Combine like terms: -6 + 8 = 2
2 + 2x = 0

Solving
2 + 2x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 0 + -2

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1