(-12x-18)*(12-4x)=

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Solution for (-12x-18)*(12-4x)= equation: 


Simplifying
(-12x + -18)(12 + -4x) = 0

Reorder the terms:
(-18 + -12x)(12 + -4x) = 0

Multiply (-18 + -12x) * (12 + -4x)
(-18(12 + -4x) + -12x * (12 + -4x)) = 0
((12 * -18 + -4x * -18) + -12x * (12 + -4x)) = 0
((-216 + 72x) + -12x * (12 + -4x)) = 0
(-216 + 72x + (12 * -12x + -4x * -12x)) = 0
(-216 + 72x + (-144x + 48x2)) = 0

Combine like terms: 72x + -144x = -72x
(-216 + -72x + 48x2) = 0

Solving
-216 + -72x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-9 + -3x + 2x2) = 0

Factor a trinomial.
24((-3 + -2x)(3 + -1x)) = 0

Ignore the factor 24.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.5, 3}

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