4m^2-45m+50=0

Solution for 4m^2-45m+50=0 equation:

Simplifying
4m2 + -45m + 50 = 0

Reorder the terms:
50 + -45m + 4m2 = 0

Solving
50 + -45m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -4m)(10 + -1m) = 0

Subproblem 1
Set the factor '(5 + -4m)' equal to zero and attempt to solve:

Simplifying
5 + -4m = 0

Solving
5 + -4m = 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 + -4m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4m = 0 + -5
-4m = 0 + -5

Combine like terms: 0 + -5 = -5
-4m = -5

Divide each side by '-4'.
m = 1.25

Simplifying
m = 1.25
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 = {1.25, 10}