91=(2x-1)x

Solution for 91=(2x-1)x equation:

Simplifying
91 = (2x + -1) * x

Reorder the terms:
91 = (-1 + 2x) * x

Reorder the terms for easier multiplication:
91 = x(-1 + 2x)
91 = (-1 * x + 2x * x)
91 = (-1x + 2x2)

Solving
91 = -1x + 2x2

Solving for variable 'x'.

Reorder the terms:
91 + x + -2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
91 + x + -2x2 = 0 + 2x2 + -2x2
91 + x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
91 + x + -2x2 = 0

Factor a trinomial.
(7 + -1x)(13 + 2x) = 0

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5
Solution
x = {7, -6.5}