(m+4)(m+1)=9m

Solution for (m+4)(m+1)=9m equation:

Simplifying
(m + 4)(m + 1) = 9m

Reorder the terms:
(4 + m)(m + 1) = 9m

Reorder the terms:
(4 + m)(1 + m) = 9m

Multiply (4 + m) * (1 + m)
(4(1 + m) + m(1 + m)) = 9m
((1 * 4 + m * 4) + m(1 + m)) = 9m
((4 + 4m) + m(1 + m)) = 9m
(4 + 4m + (1 * m + m * m)) = 9m
(4 + 4m + (1m + m2)) = 9m

Combine like terms: 4m + 1m = 5m
(4 + 5m + m2) = 9m

Solving
4 + 5m + m2 = 9m

Solving for variable 'm'.

Reorder the terms:
4 + 5m + -9m + m2 = 9m + -9m

Combine like terms: 5m + -9m = -4m
4 + -4m + m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
4 + -4m + m2 = 0

Factor a trinomial.
(2 + -1m)(2 + -1m) = 0

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {2, 2}