(2x-20)(2x-20)=36x

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Solution for (2x-20)(2x-20)=36x equation: 


Simplifying
(2x + -20)(2x + -20) = 36x

Reorder the terms:
(-20 + 2x)(2x + -20) = 36x

Reorder the terms:
(-20 + 2x)(-20 + 2x) = 36x

Multiply (-20 + 2x) * (-20 + 2x)
(-20(-20 + 2x) + 2x * (-20 + 2x)) = 36x
((-20 * -20 + 2x * -20) + 2x * (-20 + 2x)) = 36x
((400 + -40x) + 2x * (-20 + 2x)) = 36x
(400 + -40x + (-20 * 2x + 2x * 2x)) = 36x
(400 + -40x + (-40x + 4x2)) = 36x

Combine like terms: -40x + -40x = -80x
(400 + -80x + 4x2) = 36x

Solving
400 + -80x + 4x2 = 36x

Solving for variable 'x'.

Reorder the terms:
400 + -80x + -36x + 4x2 = 36x + -36x

Combine like terms: -80x + -36x = -116x
400 + -116x + 4x2 = 36x + -36x

Combine like terms: 36x + -36x = 0
400 + -116x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(100 + -29x + x2) = 0

Factor a trinomial.
4((4 + -1x)(25 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {4, 25}

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