m^2=9m+10

Solution for m^2=9m+10 equation:

Simplifying
m2 = 9m + 10

Reorder the terms:
m2 = 10 + 9m

Solving
m2 = 10 + 9m

Solving for variable 'm'.

Reorder the terms:
-10 + -9m + m2 = 10 + 9m + -10 + -9m

Reorder the terms:
-10 + -9m + m2 = 10 + -10 + 9m + -9m

Combine like terms: 10 + -10 = 0
-10 + -9m + m2 = 0 + 9m + -9m
-10 + -9m + m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
-10 + -9m + m2 = 0

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

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

Simplifying
m = -1
Subproblem 2
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
Solution
m = {-1, 10}