(6+m)(m)=72

Solution for (6+m)(m)=72 equation:

Simplifying
(6 + m)(m) = 72

Reorder the terms for easier multiplication:
m(6 + m) = 72
(6 * m + m * m) = 72
(6m + m2) = 72

Solving
6m + m2 = 72

Solving for variable 'm'.

Reorder the terms:
-72 + 6m + m2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 6m + m2 = 0

Factor a trinomial.
(-12 + -1m)(6 + -1m) = 0

Subproblem 1
Set the factor '(-12 + -1m)' equal to zero and attempt to solve:

Simplifying
-12 + -1m = 0

Solving
-12 + -1m = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1m = 0 + 12
-1m = 0 + 12

Combine like terms: 0 + 12 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

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

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

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {-12, 6}