(3x+9)(5x-8)=

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Solution for (3x+9)(5x-8)= equation: 


Simplifying
(3x + 9)(5x + -8) = 0

Reorder the terms:
(9 + 3x)(5x + -8) = 0

Reorder the terms:
(9 + 3x)(-8 + 5x) = 0

Multiply (9 + 3x) * (-8 + 5x)
(9(-8 + 5x) + 3x * (-8 + 5x)) = 0
((-8 * 9 + 5x * 9) + 3x * (-8 + 5x)) = 0
((-72 + 45x) + 3x * (-8 + 5x)) = 0
(-72 + 45x + (-8 * 3x + 5x * 3x)) = 0
(-72 + 45x + (-24x + 15x2)) = 0

Combine like terms: 45x + -24x = 21x
(-72 + 21x + 15x2) = 0

Solving
-72 + 21x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 7x + 5x2) = 0

Factor a trinomial.
3((-3 + -1x)(8 + -5x)) = 0

Ignore the factor 3.

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-3, 1.6}

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