(9x+8)*(9x+8)-4=0

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Solution for (9x+8)*(9x+8)-4=0 equation: 


Simplifying
(9x + 8)(9x + 8) + -4 = 0

Reorder the terms:
(8 + 9x)(9x + 8) + -4 = 0

Reorder the terms:
(8 + 9x)(8 + 9x) + -4 = 0

Multiply (8 + 9x) * (8 + 9x)
(8(8 + 9x) + 9x * (8 + 9x)) + -4 = 0
((8 * 8 + 9x * 8) + 9x * (8 + 9x)) + -4 = 0
((64 + 72x) + 9x * (8 + 9x)) + -4 = 0
(64 + 72x + (8 * 9x + 9x * 9x)) + -4 = 0
(64 + 72x + (72x + 81x2)) + -4 = 0

Combine like terms: 72x + 72x = 144x
(64 + 144x + 81x2) + -4 = 0

Reorder the terms:
64 + -4 + 144x + 81x2 = 0

Combine like terms: 64 + -4 = 60
60 + 144x + 81x2 = 0

Solving
60 + 144x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + 48x + 27x2) = 0

Factor a trinomial.
3((10 + 9x)(2 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-1.111111111, -0.6666666667}

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