4(x-20)(x-20)=0

Solution for 4(x-20)(x-20)=0 equation:

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

Reorder the terms:
4(-20 + x)(x + -20) = 0

Reorder the terms:
4(-20 + x)(-20 + x) = 0

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

Combine like terms: -20x + -20x = -40x
4(400 + -40x + x2) = 0
(400 * 4 + -40x * 4 + x2 * 4) = 0
(1600 + -160x + 4x2) = 0

Solving
1600 + -160x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(400 + -40x + x2) = 0

Factor a trinomial.
4((20 + -1x)(20 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {20, 20}