125=5(x-2)(x-2)

Solution for 125=5(x-2)(x-2) equation:

Simplifying
125 = 5(x + -2)(x + -2)

Reorder the terms:
125 = 5(-2 + x)(x + -2)

Reorder the terms:
125 = 5(-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
125 = 5(-2(-2 + x) + x(-2 + x))
125 = 5((-2 * -2 + x * -2) + x(-2 + x))
125 = 5((4 + -2x) + x(-2 + x))
125 = 5(4 + -2x + (-2 * x + x * x))
125 = 5(4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
125 = 5(4 + -4x + x2)
125 = (4 * 5 + -4x * 5 + x2 * 5)
125 = (20 + -20x + 5x2)

Solving
125 = 20 + -20x + 5x2

Solving for variable 'x'.

Combine like terms: 125 + -20 = 105
105 + 20x + -5x2 = 20 + -20x + 5x2 + -20 + 20x + -5x2

Reorder the terms:
105 + 20x + -5x2 = 20 + -20 + -20x + 20x + 5x2 + -5x2

Combine like terms: 20 + -20 = 0
105 + 20x + -5x2 = 0 + -20x + 20x + 5x2 + -5x2
105 + 20x + -5x2 = -20x + 20x + 5x2 + -5x2

Combine like terms: -20x + 20x = 0
105 + 20x + -5x2 = 0 + 5x2 + -5x2
105 + 20x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
105 + 20x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(21 + 4x + -1x2) = 0

Factor a trinomial.
5((7 + -1x)(3 + x)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {7, -3}