0=-16x^2+112x+128

Solution for 0=-16x^2+112x+128 equation:

Simplifying
0 = -16x2 + 112x + 128

Reorder the terms:
0 = 128 + 112x + -16x2

Solving
0 = 128 + 112x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -128 = -128
-128 + -112x + 16x2 = 128 + 112x + -16x2 + -128 + -112x + 16x2

Reorder the terms:
-128 + -112x + 16x2 = 128 + -128 + 112x + -112x + -16x2 + 16x2

Combine like terms: 128 + -128 = 0
-128 + -112x + 16x2 = 0 + 112x + -112x + -16x2 + 16x2
-128 + -112x + 16x2 = 112x + -112x + -16x2 + 16x2

Combine like terms: 112x + -112x = 0
-128 + -112x + 16x2 = 0 + -16x2 + 16x2
-128 + -112x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-128 + -112x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-8 + -7x + x2) = 0

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

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
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
Solution
x = {-1, 8}