x^2-16x-20=16

Solution for x^2-16x-20=16 equation:

Simplifying
x2 + -16x + -20 = 16

Reorder the terms:
-20 + -16x + x2 = 16

Solving
-20 + -16x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
-20 + -16 + -16x + x2 = 16 + -16

Combine like terms: -20 + -16 = -36
-36 + -16x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-36 + -16x + x2 = 0

Factor a trinomial.
(-2 + -1x)(18 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-2, 18}