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

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

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

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

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

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

Combine like terms: 16x + -4x = 12x
(-64 + 12x + x2) = 0

Solving
-64 + 12x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 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 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
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 = {-16, 4}