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

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


Simplifying
(-1x + -8)(3x + 4) = 0

Reorder the terms:
(-8 + -1x)(3x + 4) = 0

Reorder the terms:
(-8 + -1x)(4 + 3x) = 0

Multiply (-8 + -1x) * (4 + 3x)
(-8(4 + 3x) + -1x * (4 + 3x)) = 0
((4 * -8 + 3x * -8) + -1x * (4 + 3x)) = 0
((-32 + -24x) + -1x * (4 + 3x)) = 0
(-32 + -24x + (4 * -1x + 3x * -1x)) = 0
(-32 + -24x + (-4x + -3x2)) = 0

Combine like terms: -24x + -4x = -28x
(-32 + -28x + -3x2) = 0

Solving
-32 + -28x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(32 + 28x + 3x2) = 0

Factor a trinomial.
-1((8 + x)(4 + 3x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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 = {-8, -1.333333333}

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