48=-16x^2+8x+96

Solution for 48=-16x^2+8x+96 equation:

Simplifying
48 = -16x2 + 8x + 96

Reorder the terms:
48 = 96 + 8x + -16x2

Solving
48 = 96 + 8x + -16x2

Solving for variable 'x'.

Combine like terms: 48 + -96 = -48
-48 + -8x + 16x2 = 96 + 8x + -16x2 + -96 + -8x + 16x2

Reorder the terms:
-48 + -8x + 16x2 = 96 + -96 + 8x + -8x + -16x2 + 16x2

Combine like terms: 96 + -96 = 0
-48 + -8x + 16x2 = 0 + 8x + -8x + -16x2 + 16x2
-48 + -8x + 16x2 = 8x + -8x + -16x2 + 16x2

Combine like terms: 8x + -8x = 0
-48 + -8x + 16x2 = 0 + -16x2 + 16x2
-48 + -8x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-48 + -8x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-6 + -1x + 2x2) = 0

Factor a trinomial.
8((-3 + -2x)(2 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.5, 2}