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

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


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

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

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

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

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

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

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 16x + 3x2 = -16 + -16x + -3x2 + 16 + 16x + 3x2

Reorder the terms:
16 + 16x + 3x2 = -16 + 16 + -16x + 16x + -3x2 + 3x2

Combine like terms: -16 + 16 = 0
16 + 16x + 3x2 = 0 + -16x + 16x + -3x2 + 3x2
16 + 16x + 3x2 = -16x + 16x + -3x2 + 3x2

Combine like terms: -16x + 16x = 0
16 + 16x + 3x2 = 0 + -3x2 + 3x2
16 + 16x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
16 + 16x + 3x2 = 0

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


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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