(-6x+9)(-x-2)=

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Solution for (-6x+9)(-x-2)= equation: 


Simplifying
(-6x + 9)(-1x + -2) = 0

Reorder the terms:
(9 + -6x)(-1x + -2) = 0

Reorder the terms:
(9 + -6x)(-2 + -1x) = 0

Multiply (9 + -6x) * (-2 + -1x)
(9(-2 + -1x) + -6x * (-2 + -1x)) = 0
((-2 * 9 + -1x * 9) + -6x * (-2 + -1x)) = 0
((-18 + -9x) + -6x * (-2 + -1x)) = 0
(-18 + -9x + (-2 * -6x + -1x * -6x)) = 0
(-18 + -9x + (12x + 6x2)) = 0

Combine like terms: -9x + 12x = 3x
(-18 + 3x + 6x2) = 0

Solving
-18 + 3x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + x + 2x2) = 0

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

Ignore the factor 3.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-2, 1.5}

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