(8x+9)(8x+9)-8=-4

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Solution for (8x+9)(8x+9)-8=-4 equation: 


Simplifying
(8x + 9)(8x + 9) + -8 = -4

Reorder the terms:
(9 + 8x)(8x + 9) + -8 = -4

Reorder the terms:
(9 + 8x)(9 + 8x) + -8 = -4

Multiply (9 + 8x) * (9 + 8x)
(9(9 + 8x) + 8x * (9 + 8x)) + -8 = -4
((9 * 9 + 8x * 9) + 8x * (9 + 8x)) + -8 = -4
((81 + 72x) + 8x * (9 + 8x)) + -8 = -4
(81 + 72x + (9 * 8x + 8x * 8x)) + -8 = -4
(81 + 72x + (72x + 64x2)) + -8 = -4

Combine like terms: 72x + 72x = 144x
(81 + 144x + 64x2) + -8 = -4

Reorder the terms:
81 + -8 + 144x + 64x2 = -4

Combine like terms: 81 + -8 = 73
73 + 144x + 64x2 = -4

Solving
73 + 144x + 64x2 = -4

Solving for variable 'x'.

Reorder the terms:
73 + 4 + 144x + 64x2 = -4 + 4

Combine like terms: 73 + 4 = 77
77 + 144x + 64x2 = -4 + 4

Combine like terms: -4 + 4 = 0
77 + 144x + 64x2 = 0

Factor a trinomial.
(11 + 8x)(7 + 8x) = 0


Subproblem 1
Set the factor '(11 + 8x)' equal to zero and attempt to solve:

Simplifying
11 + 8x = 0

Solving
11 + 8x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 8x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 0 + -11
8x = 0 + -11

Combine like terms: 0 + -11 = -11
8x = -11

Divide each side by '8'.
x = -1.375

Simplifying
x = -1.375

Subproblem 2
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
Solution
x = {-1.375, -0.875}

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