m(m+6)=91

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

Simplifying
m(m + 6) = 91

Reorder the terms:
m(6 + m) = 91
(6 * m + m * m) = 91
(6m + m2) = 91

Solving
6m + m2 = 91

Solving for variable 'm'.

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

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

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

Simplifying
7 + -1m = 0

Solving
7 + -1m = 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 + -1m = 0 + -7

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

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

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

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