-80=x^2-16x-32

Solution for -80=x^2-16x-32 equation:

Simplifying
-80 = x2 + -16x + -32

Reorder the terms:
-80 = -32 + -16x + x2

Solving
-80 = -32 + -16x + x2

Solving for variable 'x'.

Combine like terms: -80 + 32 = -48
-48 + 16x + -1x2 = -32 + -16x + x2 + 32 + 16x + -1x2

Reorder the terms:
-48 + 16x + -1x2 = -32 + 32 + -16x + 16x + x2 + -1x2

Combine like terms: -32 + 32 = 0
-48 + 16x + -1x2 = 0 + -16x + 16x + x2 + -1x2
-48 + 16x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
-48 + 16x + -1x2 = 0 + x2 + -1x2
-48 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + 16x + -1x2 = 0

Factor a trinomial.
(-12 + x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Simplifying
x = 12
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 = {12, 4}