(5x+2)(5x+2)=16

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Solution for (5x+2)(5x+2)=16 equation: 


Simplifying
(5x + 2)(5x + 2) = 16

Reorder the terms:
(2 + 5x)(5x + 2) = 16

Reorder the terms:
(2 + 5x)(2 + 5x) = 16

Multiply (2 + 5x) * (2 + 5x)
(2(2 + 5x) + 5x * (2 + 5x)) = 16
((2 * 2 + 5x * 2) + 5x * (2 + 5x)) = 16
((4 + 10x) + 5x * (2 + 5x)) = 16
(4 + 10x + (2 * 5x + 5x * 5x)) = 16
(4 + 10x + (10x + 25x2)) = 16

Combine like terms: 10x + 10x = 20x
(4 + 20x + 25x2) = 16

Solving
4 + 20x + 25x2 = 16

Solving for variable 'x'.

Reorder the terms:
4 + -16 + 20x + 25x2 = 16 + -16

Combine like terms: 4 + -16 = -12
-12 + 20x + 25x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-12 + 20x + 25x2 = 0

Factor a trinomial.
(-6 + -5x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

Subproblem 2
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
Solution
x = {-1.2, 0.4}

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