56=-16x^2+120x

Solution for 56=-16x^2+120x equation:

Simplifying
56 = -16x2 + 120x

Reorder the terms:
56 = 120x + -16x2

Solving
56 = 120x + -16x2

Solving for variable 'x'.

Reorder the terms:
56 + -120x + 16x2 = 120x + -120x + -16x2 + 16x2

Combine like terms: 120x + -120x = 0
56 + -120x + 16x2 = 0 + -16x2 + 16x2
56 + -120x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
56 + -120x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(7 + -15x + 2x2) = 0

Factor a trinomial.
8((1 + -2x)(7 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
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 = {0.5, 7}