(3x+5)(-2x-9)=

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Solution for (3x+5)(-2x-9)= equation: 


Simplifying
(3x + 5)(-2x + -9) = 0

Reorder the terms:
(5 + 3x)(-2x + -9) = 0

Reorder the terms:
(5 + 3x)(-9 + -2x) = 0

Multiply (5 + 3x) * (-9 + -2x)
(5(-9 + -2x) + 3x * (-9 + -2x)) = 0
((-9 * 5 + -2x * 5) + 3x * (-9 + -2x)) = 0
((-45 + -10x) + 3x * (-9 + -2x)) = 0
(-45 + -10x + (-9 * 3x + -2x * 3x)) = 0
(-45 + -10x + (-27x + -6x2)) = 0

Combine like terms: -10x + -27x = -37x
(-45 + -37x + -6x2) = 0

Solving
-45 + -37x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(45 + 37x + 6x2) = 0

Factor a trinomial.
-1((9 + 2x)(5 + 3x)) = 0

Ignore the factor -1.

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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-4.5, -1.666666667}

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