0=-x^2+8x+128

Solution for 0=-x^2+8x+128 equation:

Simplifying
0 = -1x2 + 8x + 128

Reorder the terms:
0 = 128 + 8x + -1x2

Solving
0 = 128 + 8x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -128 = -128
-128 + -8x + x2 = 128 + 8x + -1x2 + -128 + -8x + x2

Reorder the terms:
-128 + -8x + x2 = 128 + -128 + 8x + -8x + -1x2 + x2

Combine like terms: 128 + -128 = 0
-128 + -8x + x2 = 0 + 8x + -8x + -1x2 + x2
-128 + -8x + x2 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
-128 + -8x + x2 = 0 + -1x2 + x2
-128 + -8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-128 + -8x + x2 = 0

Factor a trinomial.
(-8 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
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
Solution
x = {-8, 16}