(5x-4)(5x-4)=36

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Solution for (5x-4)(5x-4)=36 equation: 


Simplifying
(5x + -4)(5x + -4) = 36

Reorder the terms:
(-4 + 5x)(5x + -4) = 36

Reorder the terms:
(-4 + 5x)(-4 + 5x) = 36

Multiply (-4 + 5x) * (-4 + 5x)
(-4(-4 + 5x) + 5x * (-4 + 5x)) = 36
((-4 * -4 + 5x * -4) + 5x * (-4 + 5x)) = 36
((16 + -20x) + 5x * (-4 + 5x)) = 36
(16 + -20x + (-4 * 5x + 5x * 5x)) = 36
(16 + -20x + (-20x + 25x2)) = 36

Combine like terms: -20x + -20x = -40x
(16 + -40x + 25x2) = 36

Solving
16 + -40x + 25x2 = 36

Solving for variable 'x'.

Reorder the terms:
16 + -36 + -40x + 25x2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + -40x + 25x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + -40x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -8x + 5x2) = 0

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

Ignore the factor 5.

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

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.4, 2}

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