0=-16x^2+96x+112

Solution for 0=-16x^2+96x+112 equation:

Simplifying
0 = -16x2 + 96x + 112

Reorder the terms:
0 = 112 + 96x + -16x2

Solving
0 = 112 + 96x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -112 = -112
-112 + -96x + 16x2 = 112 + 96x + -16x2 + -112 + -96x + 16x2

Reorder the terms:
-112 + -96x + 16x2 = 112 + -112 + 96x + -96x + -16x2 + 16x2

Combine like terms: 112 + -112 = 0
-112 + -96x + 16x2 = 0 + 96x + -96x + -16x2 + 16x2
-112 + -96x + 16x2 = 96x + -96x + -16x2 + 16x2

Combine like terms: 96x + -96x = 0
-112 + -96x + 16x2 = 0 + -16x2 + 16x2
-112 + -96x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-112 + -96x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-7 + -6x + x2) = 0

Factor a trinomial.
16((-1 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-1, 7}