(5x-2)(5x-2)=144

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Solution for (5x-2)(5x-2)=144 equation: 


Simplifying
(5x + -2)(5x + -2) = 144

Reorder the terms:
(-2 + 5x)(5x + -2) = 144

Reorder the terms:
(-2 + 5x)(-2 + 5x) = 144

Multiply (-2 + 5x) * (-2 + 5x)
(-2(-2 + 5x) + 5x * (-2 + 5x)) = 144
((-2 * -2 + 5x * -2) + 5x * (-2 + 5x)) = 144
((4 + -10x) + 5x * (-2 + 5x)) = 144
(4 + -10x + (-2 * 5x + 5x * 5x)) = 144
(4 + -10x + (-10x + 25x2)) = 144

Combine like terms: -10x + -10x = -20x
(4 + -20x + 25x2) = 144

Solving
4 + -20x + 25x2 = 144

Solving for variable 'x'.

Reorder the terms:
4 + -144 + -20x + 25x2 = 144 + -144

Combine like terms: 4 + -144 = -140
-140 + -20x + 25x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-140 + -20x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-28 + -4x + 5x2) = 0

Factor a trinomial.
5((-2 + -1x)(14 + -5x)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(14 + -5x)' equal to zero and attempt to solve:

Simplifying
14 + -5x = 0

Solving
14 + -5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 0 + -14
-5x = 0 + -14

Combine like terms: 0 + -14 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8
Solution
x = {-2, 2.8}

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