-16x^2+107x-91=0

Solution for -16x^2+107x-91=0 equation:

Simplifying
-16x2 + 107x + -91 = 0

Reorder the terms:
-91 + 107x + -16x2 = 0

Solving
-91 + 107x + -16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-91 + 16x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-91 + 16x)' equal to zero and attempt to solve:

Simplifying
-91 + 16x = 0

Solving
-91 + 16x = 0

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

Add '91' to each side of the equation.
-91 + 91 + 16x = 0 + 91

Combine like terms: -91 + 91 = 0
0 + 16x = 0 + 91
16x = 0 + 91

Combine like terms: 0 + 91 = 91
16x = 91

Divide each side by '16'.
x = 5.6875

Simplifying
x = 5.6875
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {5.6875, 1}