(16x+80)(x-4)=0

Solution for (16x+80)(x-4)=0 equation:

Simplifying
(16x + 80)(x + -4) = 0

Reorder the terms:
(80 + 16x)(x + -4) = 0

Reorder the terms:
(80 + 16x)(-4 + x) = 0

Multiply (80 + 16x) * (-4 + x)
(80(-4 + x) + 16x * (-4 + x)) = 0
((-4 * 80 + x * 80) + 16x * (-4 + x)) = 0
((-320 + 80x) + 16x * (-4 + x)) = 0
(-320 + 80x + (-4 * 16x + x * 16x)) = 0
(-320 + 80x + (-64x + 16x2)) = 0

Combine like terms: 80x + -64x = 16x
(-320 + 16x + 16x2) = 0

Solving
-320 + 16x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-20 + x + x2) = 0

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

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
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 = {-5, 4}