(9x+15)(8x+15)=0

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Solution for (9x+15)(8x+15)=0 equation: 


Simplifying
(9x + 15)(8x + 15) = 0

Reorder the terms:
(15 + 9x)(8x + 15) = 0

Reorder the terms:
(15 + 9x)(15 + 8x) = 0

Multiply (15 + 9x) * (15 + 8x)
(15(15 + 8x) + 9x * (15 + 8x)) = 0
((15 * 15 + 8x * 15) + 9x * (15 + 8x)) = 0
((225 + 120x) + 9x * (15 + 8x)) = 0
(225 + 120x + (15 * 9x + 8x * 9x)) = 0
(225 + 120x + (135x + 72x2)) = 0

Combine like terms: 120x + 135x = 255x
(225 + 255x + 72x2) = 0

Solving
225 + 255x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(75 + 85x + 24x2) = 0

Factor a trinomial.
3((15 + 8x)(5 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(15 + 8x)' equal to zero and attempt to solve:

Simplifying
15 + 8x = 0

Solving
15 + 8x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 8x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 0 + -15
8x = 0 + -15

Combine like terms: 0 + -15 = -15
8x = -15

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-1.875, -1.666666667}

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