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

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


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

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

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

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

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

Solving
-48 + -32x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -3x)(12 + -1x) = 0


Subproblem 1
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

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 = {-1.333333333, 12}

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