(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 = -17x
(45 + -17x + -6x2) = 0

Solving
45 + -17x + -6x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {1.666666667, -4.5}

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