91=(m-6)m

Solution for 91=(m-6)m equation:

Simplifying
91 = (m + -6) * m

Reorder the terms:
91 = (-6 + m) * m

Reorder the terms for easier multiplication:
91 = m(-6 + m)
91 = (-6 * m + m * m)
91 = (-6m + m2)

Solving
91 = -6m + m2

Solving for variable 'm'.

Reorder the terms:
91 + 6m + -1m2 = -6m + 6m + m2 + -1m2

Combine like terms: -6m + 6m = 0
91 + 6m + -1m2 = 0 + m2 + -1m2
91 + 6m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
91 + 6m + -1m2 = 0

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

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

Simplifying
13 + -1m = 0

Solving
13 + -1m = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1m = 0 + -13
-1m = 0 + -13

Combine like terms: 0 + -13 = -13
-1m = -13

Divide each side by '-1'.
m = 13

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

Simplifying
7 + m = 0

Solving
7 + m = 0

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

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

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

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