m^2-16m+15=0

Solution for m^2-16m+15=0 equation:

Simplifying
m2 + -16m + 15 = 0

Reorder the terms:
15 + -16m + m2 = 0

Solving
15 + -16m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(15 + -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 '(15 + -1m)' equal to zero and attempt to solve:

Simplifying
15 + -1m = 0

Solving
15 + -1m = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 0 + -15
-1m = 0 + -15

Combine like terms: 0 + -15 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15
Solution
m = {1, 15}