(x-2)(x+16)=

Solution for (x-2)(x+16)= equation:

Simplifying
(x + -2)(x + 16) = 0

Reorder the terms:
(-2 + x)(x + 16) = 0

Reorder the terms:
(-2 + x)(16 + x) = 0

Multiply (-2 + x) * (16 + x)
(-2(16 + x) + x(16 + x)) = 0
((16 * -2 + x * -2) + x(16 + x)) = 0
((-32 + -2x) + x(16 + x)) = 0
(-32 + -2x + (16 * x + x * x)) = 0
(-32 + -2x + (16x + x2)) = 0

Combine like terms: -2x + 16x = 14x
(-32 + 14x + x2) = 0

Solving
-32 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -1x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-16, 2}