m(m+6)=40

Solution for m(m+6)=40 equation:

Simplifying
m(m + 6) = 40

Reorder the terms:
m(6 + m) = 40
(6 * m + m * m) = 40
(6m + m2) = 40

Solving
6m + m2 = 40

Solving for variable 'm'.

Reorder the terms:
-40 + 6m + m2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 6m + m2 = 0

Factor a trinomial.
(-10 + -1m)(4 + -1m) = 0

Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve:

Simplifying
-10 + -1m = 0

Solving
-10 + -1m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1m = 0 + 10
-1m = 0 + 10

Combine like terms: 0 + 10 = 10
-1m = 10

Divide each side by '-1'.
m = -10

Simplifying
m = -10
Subproblem 2
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
Solution
m = {-10, 4}