0=2m^2-11m+9

Solution for 0=2m^2-11m+9 equation:

Simplifying
0 = 2m2 + -11m + 9

Reorder the terms:
0 = 9 + -11m + 2m2

Solving
0 = 9 + -11m + 2m2

Solving for variable 'm'.

Combine like terms: 0 + -9 = -9
-9 + 11m + -2m2 = 9 + -11m + 2m2 + -9 + 11m + -2m2

Reorder the terms:
-9 + 11m + -2m2 = 9 + -9 + -11m + 11m + 2m2 + -2m2

Combine like terms: 9 + -9 = 0
-9 + 11m + -2m2 = 0 + -11m + 11m + 2m2 + -2m2
-9 + 11m + -2m2 = -11m + 11m + 2m2 + -2m2

Combine like terms: -11m + 11m = 0
-9 + 11m + -2m2 = 0 + 2m2 + -2m2
-9 + 11m + -2m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
-9 + 11m + -2m2 = 0

Factor a trinomial.
(-9 + 2m)(1 + -1m) = 0

Subproblem 1
Set the factor '(-9 + 2m)' equal to zero and attempt to solve:

Simplifying
-9 + 2m = 0

Solving
-9 + 2m = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2m = 0 + 9
2m = 0 + 9

Combine like terms: 0 + 9 = 9
2m = 9

Divide each side by '2'.
m = 4.5

Simplifying
m = 4.5
Subproblem 2
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
Solution
m = {4.5, 1}