(x+8)(x+8)=225

Solution for (x+8)(x+8)=225 equation:

Simplifying
(x + 8)(x + 8) = 225

Reorder the terms:
(8 + x)(x + 8) = 225

Reorder the terms:
(8 + x)(8 + x) = 225

Multiply (8 + x) * (8 + x)
(8(8 + x) + x(8 + x)) = 225
((8 * 8 + x * 8) + x(8 + x)) = 225
((64 + 8x) + x(8 + x)) = 225
(64 + 8x + (8 * x + x * x)) = 225
(64 + 8x + (8x + x2)) = 225

Combine like terms: 8x + 8x = 16x
(64 + 16x + x2) = 225

Solving
64 + 16x + x2 = 225

Solving for variable 'x'.

Reorder the terms:
64 + -225 + 16x + x2 = 225 + -225

Combine like terms: 64 + -225 = -161
-161 + 16x + x2 = 225 + -225

Combine like terms: 225 + -225 = 0
-161 + 16x + x2 = 0

Factor a trinomial.
(-23 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve:

Simplifying
-23 + -1x = 0

Solving
-23 + -1x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = 0 + 23
-1x = 0 + 23

Combine like terms: 0 + 23 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-23, 7}