m(m+9)=4(2m+5)

Solution for m(m+9)=4(2m+5) equation:

Simplifying
m(m + 9) = 4(2m + 5)

Reorder the terms:
m(9 + m) = 4(2m + 5)
(9 * m + m * m) = 4(2m + 5)
(9m + m2) = 4(2m + 5)

Reorder the terms:
9m + m2 = 4(5 + 2m)
9m + m2 = (5 * 4 + 2m * 4)
9m + m2 = (20 + 8m)

Solving
9m + m2 = 20 + 8m

Solving for variable 'm'.

Reorder the terms:
-20 + 9m + -8m + m2 = 20 + 8m + -20 + -8m

Combine like terms: 9m + -8m = 1m
-20 + 1m + m2 = 20 + 8m + -20 + -8m

Reorder the terms:
-20 + 1m + m2 = 20 + -20 + 8m + -8m

Combine like terms: 20 + -20 = 0
-20 + 1m + m2 = 0 + 8m + -8m
-20 + 1m + m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
-20 + 1m + m2 = 0

Factor a trinomial.
(-5 + -1m)(4 + -1m) = 0

Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

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

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

Divide each side by '-1'.
m = -5

Simplifying
m = -5
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 = {-5, 4}