36=m(m+5)

Solution for 36=m(m+5) equation:

Simplifying
36 = m(m + 5)

Reorder the terms:
36 = m(5 + m)
36 = (5 * m + m * m)
36 = (5m + m2)

Solving
36 = 5m + m2

Solving for variable 'm'.

Reorder the terms:
36 + -5m + -1m2 = 5m + -5m + m2 + -1m2

Combine like terms: 5m + -5m = 0
36 + -5m + -1m2 = 0 + m2 + -1m2
36 + -5m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
36 + -5m + -1m2 = 0

Factor a trinomial.
(4 + -1m)(9 + m) = 0

Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Subproblem 2
Set the factor '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 0

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

Add '-9' to each side of the equation.
9 + -9 + m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Solution
m = {4, -9}