(9m+11)(m+9)=79

Solution for (9m+11)(m+9)=79 equation:

Simplifying
(9m + 11)(m + 9) = 79

Reorder the terms:
(11 + 9m)(m + 9) = 79

Reorder the terms:
(11 + 9m)(9 + m) = 79

Multiply (11 + 9m) * (9 + m)
(11(9 + m) + 9m * (9 + m)) = 79
((9 * 11 + m * 11) + 9m * (9 + m)) = 79
((99 + 11m) + 9m * (9 + m)) = 79
(99 + 11m + (9 * 9m + m * 9m)) = 79
(99 + 11m + (81m + 9m2)) = 79

Combine like terms: 11m + 81m = 92m
(99 + 92m + 9m2) = 79

Solving
99 + 92m + 9m2 = 79

Solving for variable 'm'.

Reorder the terms:
99 + -79 + 92m + 9m2 = 79 + -79

Combine like terms: 99 + -79 = 20
20 + 92m + 9m2 = 79 + -79

Combine like terms: 79 + -79 = 0
20 + 92m + 9m2 = 0

Factor a trinomial.
(10 + m)(2 + 9m) = 0

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

Simplifying
10 + m = 0

Solving
10 + m = 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 + m = 0 + -10

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

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

Simplifying
m = -10
Subproblem 2
Set the factor '(2 + 9m)' equal to zero and attempt to solve:

Simplifying
2 + 9m = 0

Solving
2 + 9m = 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 + 9m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9m = 0 + -2
9m = 0 + -2

Combine like terms: 0 + -2 = -2
9m = -2

Divide each side by '9'.
m = -0.2222222222

Simplifying
m = -0.2222222222
Solution
m = {-10, -0.2222222222}