-91x^2+116x-33=0

Solution for -91x^2+116x-33=0 equation:

Simplifying
-91x2 + 116x + -33 = 0

Reorder the terms:
-33 + 116x + -91x2 = 0

Solving
-33 + 116x + -91x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + 13x)(3 + -7x) = 0

Subproblem 1
Set the factor '(-11 + 13x)' equal to zero and attempt to solve:

Simplifying
-11 + 13x = 0

Solving
-11 + 13x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 13x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 13x = 0 + 11
13x = 0 + 11

Combine like terms: 0 + 11 = 11
13x = 11

Divide each side by '13'.
x = 0.8461538462

Simplifying
x = 0.8461538462
Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {0.8461538462, 0.4285714286}