0=m^2-15m+50

Solution for 0=m^2-15m+50 equation:

Simplifying
0 = m2 + -15m + 50

Reorder the terms:
0 = 50 + -15m + m2

Solving
0 = 50 + -15m + m2

Solving for variable 'm'.

Combine like terms: 0 + -50 = -50
-50 + 15m + -1m2 = 50 + -15m + m2 + -50 + 15m + -1m2

Reorder the terms:
-50 + 15m + -1m2 = 50 + -50 + -15m + 15m + m2 + -1m2

Combine like terms: 50 + -50 = 0
-50 + 15m + -1m2 = 0 + -15m + 15m + m2 + -1m2
-50 + 15m + -1m2 = -15m + 15m + m2 + -1m2

Combine like terms: -15m + 15m = 0
-50 + 15m + -1m2 = 0 + m2 + -1m2
-50 + 15m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-50 + 15m + -1m2 = 0

Factor a trinomial.
(-10 + m)(5 + -1m) = 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 '(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
Solution
m = {10, 5}