(4x+4)(-5x-16)=0

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Solution for (4x+4)(-5x-16)=0 equation: 


Simplifying
(4x + 4)(-5x + -16) = 0

Reorder the terms:
(4 + 4x)(-5x + -16) = 0

Reorder the terms:
(4 + 4x)(-16 + -5x) = 0

Multiply (4 + 4x) * (-16 + -5x)
(4(-16 + -5x) + 4x * (-16 + -5x)) = 0
((-16 * 4 + -5x * 4) + 4x * (-16 + -5x)) = 0
((-64 + -20x) + 4x * (-16 + -5x)) = 0
(-64 + -20x + (-16 * 4x + -5x * 4x)) = 0
(-64 + -20x + (-64x + -20x2)) = 0

Combine like terms: -20x + -64x = -84x
(-64 + -84x + -20x2) = 0

Solving
-64 + -84x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(16 + 21x + 5x2) = 0

Factor a trinomial.
-4((16 + 5x)(1 + x)) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(16 + 5x)' equal to zero and attempt to solve:

Simplifying
16 + 5x = 0

Solving
16 + 5x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 0 + -16
5x = 0 + -16

Combine like terms: 0 + -16 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-3.2, -1}

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