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

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


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

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

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

Multiply (16 + -4x) * (-5 + -4x)
(16(-5 + -4x) + -4x * (-5 + -4x)) = 0
((-5 * 16 + -4x * 16) + -4x * (-5 + -4x)) = 0
((-80 + -64x) + -4x * (-5 + -4x)) = 0
(-80 + -64x + (-5 * -4x + -4x * -4x)) = 0
(-80 + -64x + (20x + 16x2)) = 0

Combine like terms: -64x + 20x = -44x
(-80 + -44x + 16x2) = 0

Solving
-80 + -44x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -11x + 4x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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 = {-1.25, 4}

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