(2x-20)(2x-20)=

Solution for (2x-20)(2x-20)= equation:

Simplifying
(2x + -20)(2x + -20) = 0

Reorder the terms:
(-20 + 2x)(2x + -20) = 0

Reorder the terms:
(-20 + 2x)(-20 + 2x) = 0

Multiply (-20 + 2x) * (-20 + 2x)
(-20(-20 + 2x) + 2x * (-20 + 2x)) = 0
((-20 * -20 + 2x * -20) + 2x * (-20 + 2x)) = 0
((400 + -40x) + 2x * (-20 + 2x)) = 0
(400 + -40x + (-20 * 2x + 2x * 2x)) = 0
(400 + -40x + (-40x + 4x2)) = 0

Combine like terms: -40x + -40x = -80x
(400 + -80x + 4x2) = 0

Solving
400 + -80x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(100 + -20x + x2) = 0

Factor a trinomial.
4((10 + -1x)(10 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {10, 10}