0=-16x^2+92x+24

Solution for 0=-16x^2+92x+24 equation:

Simplifying
0 = -16x2 + 92x + 24

Reorder the terms:
0 = 24 + 92x + -16x2

Solving
0 = 24 + 92x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + -92x + 16x2 = 24 + 92x + -16x2 + -24 + -92x + 16x2

Reorder the terms:
-24 + -92x + 16x2 = 24 + -24 + 92x + -92x + -16x2 + 16x2

Combine like terms: 24 + -24 = 0
-24 + -92x + 16x2 = 0 + 92x + -92x + -16x2 + 16x2
-24 + -92x + 16x2 = 92x + -92x + -16x2 + 16x2

Combine like terms: 92x + -92x = 0
-24 + -92x + 16x2 = 0 + -16x2 + 16x2
-24 + -92x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-24 + -92x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + -23x + 4x2) = 0

Factor a trinomial.
4((-1 + -4x)(6 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.25, 6}