2(x-5)(x-5)=0

Solution for 2(x-5)(x-5)=0 equation:

Simplifying
2(x + -5)(x + -5) = 0

Reorder the terms:
2(-5 + x)(x + -5) = 0

Reorder the terms:
2(-5 + x)(-5 + x) = 0

Multiply (-5 + x) * (-5 + x)
2(-5(-5 + x) + x(-5 + x)) = 0
2((-5 * -5 + x * -5) + x(-5 + x)) = 0
2((25 + -5x) + x(-5 + x)) = 0
2(25 + -5x + (-5 * x + x * x)) = 0
2(25 + -5x + (-5x + x2)) = 0

Combine like terms: -5x + -5x = -10x
2(25 + -10x + x2) = 0
(25 * 2 + -10x * 2 + x2 * 2) = 0
(50 + -20x + 2x2) = 0

Solving
50 + -20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -10x + x2) = 0

Factor a trinomial.
2((5 + -1x)(5 + -1x)) = 0

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {5, 5}