20m^2=9m-1

Solution for 20m^2=9m-1 equation:

Simplifying
20m2 = 9m + -1

Reorder the terms:
20m2 = -1 + 9m

Solving
20m2 = -1 + 9m

Solving for variable 'm'.

Reorder the terms:
1 + -9m + 20m2 = -1 + 9m + 1 + -9m

Reorder the terms:
1 + -9m + 20m2 = -1 + 1 + 9m + -9m

Combine like terms: -1 + 1 = 0
1 + -9m + 20m2 = 0 + 9m + -9m
1 + -9m + 20m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
1 + -9m + 20m2 = 0

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

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

Simplifying
1 + -5m = 0

Solving
1 + -5m = 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 + -5m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5m = 0 + -1
-5m = 0 + -1

Combine like terms: 0 + -1 = -1
-5m = -1

Divide each side by '-5'.
m = 0.2

Simplifying
m = 0.2
Subproblem 2
Set the factor '(1 + -4m)' equal to zero and attempt to solve:

Simplifying
1 + -4m = 0

Solving
1 + -4m = 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 + -4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = 0 + -1
-4m = 0 + -1

Combine like terms: 0 + -1 = -1
-4m = -1

Divide each side by '-4'.
m = 0.25

Simplifying
m = 0.25
Solution
m = {0.2, 0.25}