-16x^2+114x-198=0

Solution for -16x^2+114x-198=0 equation:

Simplifying
-16x2 + 114x + -198 = 0

Reorder the terms:
-198 + 114x + -16x2 = 0

Solving
-198 + 114x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-99 + 57x + -8x2) = 0

Factor a trinomial.
2((-33 + 8x)(3 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-33 + 8x)' equal to zero and attempt to solve:

Simplifying
-33 + 8x = 0

Solving
-33 + 8x = 0

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

Add '33' to each side of the equation.
-33 + 33 + 8x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 8x = 0 + 33
8x = 0 + 33

Combine like terms: 0 + 33 = 33
8x = 33

Divide each side by '8'.
x = 4.125

Simplifying
x = 4.125
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {4.125, 3}