(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((-14 + -5x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
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

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 = {-2.8, 2}

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