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

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


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

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

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

Multiply (9 + 5x) * (8 + 3x)
(9(8 + 3x) + 5x * (8 + 3x)) = 0
((8 * 9 + 3x * 9) + 5x * (8 + 3x)) = 0
((72 + 27x) + 5x * (8 + 3x)) = 0
(72 + 27x + (8 * 5x + 3x * 5x)) = 0
(72 + 27x + (40x + 15x2)) = 0

Combine like terms: 27x + 40x = 67x
(72 + 67x + 15x2) = 0

Solving
72 + 67x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 3x)(9 + 5x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {-2.666666667, -1.8}

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