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

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


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

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

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

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

Combine like terms: 16x + -27x = -11x
(-72 + -11x + 6x2) = 0

Solving
-72 + -11x + 6x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {-2.666666667, 4.5}

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