(3x-6)(x-12)=

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Solution for (3x-6)(x-12)= equation: 


Simplifying
(3x + -6)(x + -12) = 0

Reorder the terms:
(-6 + 3x)(x + -12) = 0

Reorder the terms:
(-6 + 3x)(-12 + x) = 0

Multiply (-6 + 3x) * (-12 + x)
(-6(-12 + x) + 3x * (-12 + x)) = 0
((-12 * -6 + x * -6) + 3x * (-12 + x)) = 0
((72 + -6x) + 3x * (-12 + x)) = 0
(72 + -6x + (-12 * 3x + x * 3x)) = 0
(72 + -6x + (-36x + 3x2)) = 0

Combine like terms: -6x + -36x = -42x
(72 + -42x + 3x2) = 0

Solving
72 + -42x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -14x + x2) = 0

Factor a trinomial.
3((2 + -1x)(12 + -1x)) = 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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {2, 12}

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