(2x+9)(3x+8)=0

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Solution for (2x+9)(3x+8)=0 equation: 


Simplifying
(2x + 9)(3x + 8) = 0

Reorder the terms:
(9 + 2x)(3x + 8) = 0

Reorder the terms:
(9 + 2x)(8 + 3x) = 0

Multiply (9 + 2x) * (8 + 3x)
(9(8 + 3x) + 2x * (8 + 3x)) = 0
((8 * 9 + 3x * 9) + 2x * (8 + 3x)) = 0
((72 + 27x) + 2x * (8 + 3x)) = 0
(72 + 27x + (8 * 2x + 3x * 2x)) = 0
(72 + 27x + (16x + 6x2)) = 0

Combine like terms: 27x + 16x = 43x
(72 + 43x + 6x2) = 0

Solving
72 + 43x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 2x)(8 + 3x) = 0


Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
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
Solution
x = {-4.5, -2.666666667}

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