(5x+8)(5x+8)=36

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Solution for (5x+8)(5x+8)=36 equation: 


Simplifying
(5x + 8)(5x + 8) = 36

Reorder the terms:
(8 + 5x)(5x + 8) = 36

Reorder the terms:
(8 + 5x)(8 + 5x) = 36

Multiply (8 + 5x) * (8 + 5x)
(8(8 + 5x) + 5x * (8 + 5x)) = 36
((8 * 8 + 5x * 8) + 5x * (8 + 5x)) = 36
((64 + 40x) + 5x * (8 + 5x)) = 36
(64 + 40x + (8 * 5x + 5x * 5x)) = 36
(64 + 40x + (40x + 25x2)) = 36

Combine like terms: 40x + 40x = 80x
(64 + 80x + 25x2) = 36

Solving
64 + 80x + 25x2 = 36

Solving for variable 'x'.

Reorder the terms:
64 + -36 + 80x + 25x2 = 36 + -36

Combine like terms: 64 + -36 = 28
28 + 80x + 25x2 = 36 + -36

Combine like terms: 36 + -36 = 0
28 + 80x + 25x2 = 0

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


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 + 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 = {-2.8, -0.4}

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