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

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


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

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

Multiply (-4 + -1x) * (4 + 3x)
(-4(4 + 3x) + -1x * (4 + 3x)) = 0
((4 * -4 + 3x * -4) + -1x * (4 + 3x)) = 0
((-16 + -12x) + -1x * (4 + 3x)) = 0
(-16 + -12x + (4 * -1x + 3x * -1x)) = 0
(-16 + -12x + (-4x + -3x2)) = 0

Combine like terms: -12x + -4x = -16x
(-16 + -16x + -3x2) = 0

Solving
-16 + -16x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 16x + 3x2) = 0

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

Ignore the factor -1.

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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4

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 = {-4, -1.333333333}

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