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

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

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

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

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

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

Combine like terms: -16x + 16x = 0
(-64 + 0 + 4x2) = 0
(-64 + 4x2) = 0

Solving
-64 + 4x2 = 0

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + 4x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4x2 = 0 + 64
4x2 = 0 + 64

Combine like terms: 0 + 64 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}