(8x+5)(8x+5)=4

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Solution for (8x+5)(8x+5)=4 equation: 


Simplifying
(8x + 5)(8x + 5) = 4

Reorder the terms:
(5 + 8x)(8x + 5) = 4

Reorder the terms:
(5 + 8x)(5 + 8x) = 4

Multiply (5 + 8x) * (5 + 8x)
(5(5 + 8x) + 8x * (5 + 8x)) = 4
((5 * 5 + 8x * 5) + 8x * (5 + 8x)) = 4
((25 + 40x) + 8x * (5 + 8x)) = 4
(25 + 40x + (5 * 8x + 8x * 8x)) = 4
(25 + 40x + (40x + 64x2)) = 4

Combine like terms: 40x + 40x = 80x
(25 + 80x + 64x2) = 4

Solving
25 + 80x + 64x2 = 4

Solving for variable 'x'.

Reorder the terms:
25 + -4 + 80x + 64x2 = 4 + -4

Combine like terms: 25 + -4 = 21
21 + 80x + 64x2 = 4 + -4

Combine like terms: 4 + -4 = 0
21 + 80x + 64x2 = 0

Factor a trinomial.
(7 + 8x)(3 + 8x) = 0


Subproblem 1
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875

Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 0 + -3
8x = 0 + -3

Combine like terms: 0 + -3 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {-0.875, -0.375}

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