(5x+9)(4x+8)=

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Solution for (5x+9)(4x+8)= equation: 


Simplifying
(5x + 9)(4x + 8) = 0

Reorder the terms:
(9 + 5x)(4x + 8) = 0

Reorder the terms:
(9 + 5x)(8 + 4x) = 0

Multiply (9 + 5x) * (8 + 4x)
(9(8 + 4x) + 5x * (8 + 4x)) = 0
((8 * 9 + 4x * 9) + 5x * (8 + 4x)) = 0
((72 + 36x) + 5x * (8 + 4x)) = 0
(72 + 36x + (8 * 5x + 4x * 5x)) = 0
(72 + 36x + (40x + 20x2)) = 0

Combine like terms: 36x + 40x = 76x
(72 + 76x + 20x2) = 0

Solving
72 + 76x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + 19x + 5x2) = 0

Factor a trinomial.
4((2 + x)(9 + 5x)) = 0

Ignore the factor 4.

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2

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, -1.8}

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