(x+12)(3x-4)=0

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Solution for (x+12)(3x-4)=0 equation: 


Simplifying
(x + 12)(3x + -4) = 0

Reorder the terms:
(12 + x)(3x + -4) = 0

Reorder the terms:
(12 + x)(-4 + 3x) = 0

Multiply (12 + x) * (-4 + 3x)
(12(-4 + 3x) + x(-4 + 3x)) = 0
((-4 * 12 + 3x * 12) + x(-4 + 3x)) = 0
((-48 + 36x) + x(-4 + 3x)) = 0
(-48 + 36x + (-4 * x + 3x * x)) = 0
(-48 + 36x + (-4x + 3x2)) = 0

Combine like terms: 36x + -4x = 32x
(-48 + 32x + 3x2) = 0

Solving
-48 + 32x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(4 + -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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-12, 1.333333333}

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