(3x-4)(x+2)=112

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Solution for (3x-4)(x+2)=112 equation: 


Simplifying
(3x + -4)(x + 2) = 112

Reorder the terms:
(-4 + 3x)(x + 2) = 112

Reorder the terms:
(-4 + 3x)(2 + x) = 112

Multiply (-4 + 3x) * (2 + x)
(-4(2 + x) + 3x * (2 + x)) = 112
((2 * -4 + x * -4) + 3x * (2 + x)) = 112
((-8 + -4x) + 3x * (2 + x)) = 112
(-8 + -4x + (2 * 3x + x * 3x)) = 112
(-8 + -4x + (6x + 3x2)) = 112

Combine like terms: -4x + 6x = 2x
(-8 + 2x + 3x2) = 112

Solving
-8 + 2x + 3x2 = 112

Solving for variable 'x'.

Reorder the terms:
-8 + -112 + 2x + 3x2 = 112 + -112

Combine like terms: -8 + -112 = -120
-120 + 2x + 3x2 = 112 + -112

Combine like terms: 112 + -112 = 0
-120 + 2x + 3x2 = 0

Factor a trinomial.
(-20 + -3x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve:

Simplifying
-20 + -3x = 0

Solving
-20 + -3x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -3x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = 0 + 20
-3x = 0 + 20

Combine like terms: 0 + 20 = 20
-3x = 20

Divide each side by '-3'.
x = -6.666666667

Simplifying
x = -6.666666667

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-6.666666667, 6}

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