(x+8)(3x-4)=96

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Solution for (x+8)(3x-4)=96 equation: 


Simplifying
(x + 8)(3x + -4) = 96

Reorder the terms:
(8 + x)(3x + -4) = 96

Reorder the terms:
(8 + x)(-4 + 3x) = 96

Multiply (8 + x) * (-4 + 3x)
(8(-4 + 3x) + x(-4 + 3x)) = 96
((-4 * 8 + 3x * 8) + x(-4 + 3x)) = 96
((-32 + 24x) + x(-4 + 3x)) = 96
(-32 + 24x + (-4 * x + 3x * x)) = 96
(-32 + 24x + (-4x + 3x2)) = 96

Combine like terms: 24x + -4x = 20x
(-32 + 20x + 3x2) = 96

Solving
-32 + 20x + 3x2 = 96

Solving for variable 'x'.

Reorder the terms:
-32 + -96 + 20x + 3x2 = 96 + -96

Combine like terms: -32 + -96 = -128
-128 + 20x + 3x2 = 96 + -96

Combine like terms: 96 + -96 = 0
-128 + 20x + 3x2 = 0

Factor a trinomial.
(-32 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve:

Simplifying
-32 + -3x = 0

Solving
-32 + -3x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -3x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = 0 + 32
-3x = 0 + 32

Combine like terms: 0 + 32 = 32
-3x = 32

Divide each side by '-3'.
x = -10.66666667

Simplifying
x = -10.66666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-10.66666667, 4}

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