(9x+8)(9x+3)=

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Solution for (9x+8)(9x+3)= equation: 


Simplifying
(9x + 8)(9x + 3) = 0

Reorder the terms:
(8 + 9x)(9x + 3) = 0

Reorder the terms:
(8 + 9x)(3 + 9x) = 0

Multiply (8 + 9x) * (3 + 9x)
(8(3 + 9x) + 9x * (3 + 9x)) = 0
((3 * 8 + 9x * 8) + 9x * (3 + 9x)) = 0
((24 + 72x) + 9x * (3 + 9x)) = 0
(24 + 72x + (3 * 9x + 9x * 9x)) = 0
(24 + 72x + (27x + 81x2)) = 0

Combine like terms: 72x + 27x = 99x
(24 + 99x + 81x2) = 0

Solving
24 + 99x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 33x + 27x2) = 0

Factor a trinomial.
3((8 + 9x)(1 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + 9x)' equal to zero and attempt to solve:

Simplifying
8 + 9x = 0

Solving
8 + 9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 0 + -8
9x = 0 + -8

Combine like terms: 0 + -8 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-0.8888888889, -0.3333333333}

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