m^2-19m+48m=0

Solution for m^2-19m+48m=0 equation:

Simplifying
m2 + -19m + 48m = 0

Reorder the terms:
-19m + 48m + m2 = 0

Combine like terms: -19m + 48m = 29m
29m + m2 = 0

Solving
29m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(29 + m) = 0

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(29 + m)' equal to zero and attempt to solve:

Simplifying
29 + m = 0

Solving
29 + m = 0

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

Add '-29' to each side of the equation.
29 + -29 + m = 0 + -29

Combine like terms: 29 + -29 = 0
0 + m = 0 + -29
m = 0 + -29

Combine like terms: 0 + -29 = -29
m = -29

Simplifying
m = -29
Solution
m = {0, -29}