91=(x+6)x

Solution for 91=(x+6)x equation:

Simplifying
91 = (x + 6) * x

Reorder the terms:
91 = (6 + x) * x

Reorder the terms for easier multiplication:
91 = x(6 + x)
91 = (6 * x + x * x)
91 = (6x + x2)

Solving
91 = 6x + x2

Solving for variable 'x'.

Reorder the terms:
91 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
91 + -6x + -1x2 = 0 + x2 + -1x2
91 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
91 + -6x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(13 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 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 + x = 0 + -13

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

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

Simplifying
x = -13
Solution
x = {7, -13}