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

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


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

Reorder the terms:
(-2 + 3x)(x + 12) = 0

Reorder the terms:
(-2 + 3x)(12 + x) = 0

Multiply (-2 + 3x) * (12 + x)
(-2(12 + x) + 3x * (12 + x)) = 0
((12 * -2 + x * -2) + 3x * (12 + x)) = 0
((-24 + -2x) + 3x * (12 + x)) = 0
(-24 + -2x + (12 * 3x + x * 3x)) = 0
(-24 + -2x + (36x + 3x2)) = 0

Combine like terms: -2x + 36x = 34x
(-24 + 34x + 3x2) = 0

Solving
-24 + 34x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-12, 0.6666666667}

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