12(-3+-2x)(8+-1x)=0

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Solution for 12(-3+-2x)(8+-1x)=0 equation: 


Simplifying
12(-3 + -2x)(8 + -1x) = 0

Multiply (-3 + -2x) * (8 + -1x)
12(-3(8 + -1x) + -2x * (8 + -1x)) = 0
12((8 * -3 + -1x * -3) + -2x * (8 + -1x)) = 0
12((-24 + 3x) + -2x * (8 + -1x)) = 0
12(-24 + 3x + (8 * -2x + -1x * -2x)) = 0
12(-24 + 3x + (-16x + 2x2)) = 0

Combine like terms: 3x + -16x = -13x
12(-24 + -13x + 2x2) = 0
(-24 * 12 + -13x * 12 + 2x2 * 12) = 0
(-288 + -156x + 24x2) = 0

Solving
-288 + -156x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-24 + -13x + 2x2) = 0

Factor a trinomial.
12((-3 + -2x)(8 + -1x)) = 0

Ignore the factor 12.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-1.5, 8}

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