(2x+5)*8x+9*(2x+5)=0

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Solution for (2x+5)*8x+9*(2x+5)=0 equation: 


Simplifying
(2x + 5) * 8x + 9(2x + 5) = 0

Reorder the terms:
(5 + 2x) * 8x + 9(2x + 5) = 0

Reorder the terms for easier multiplication:
8x(5 + 2x) + 9(2x + 5) = 0
(5 * 8x + 2x * 8x) + 9(2x + 5) = 0
(40x + 16x2) + 9(2x + 5) = 0

Reorder the terms:
40x + 16x2 + 9(5 + 2x) = 0
40x + 16x2 + (5 * 9 + 2x * 9) = 0
40x + 16x2 + (45 + 18x) = 0

Reorder the terms:
45 + 40x + 18x + 16x2 = 0

Combine like terms: 40x + 18x = 58x
45 + 58x + 16x2 = 0

Solving
45 + 58x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 2x)(9 + 8x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve:

Simplifying
9 + 8x = 0

Solving
9 + 8x = 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 + 8x = 0 + -9

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

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

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125
Solution
x = {-2.5, -1.125}

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