5m-2m^2-3=0

Solution for 5m-2m^2-3=0 equation:

Simplifying
5m + -2m2 + -3 = 0

Reorder the terms:
-3 + 5m + -2m2 = 0

Solving
-3 + 5m + -2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + 2m)(1 + -1m) = 0

Subproblem 1
Set the factor '(-3 + 2m)' equal to zero and attempt to solve:

Simplifying
-3 + 2m = 0

Solving
-3 + 2m = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2m = 0 + 3
2m = 0 + 3

Combine like terms: 0 + 3 = 3
2m = 3

Divide each side by '2'.
m = 1.5

Simplifying
m = 1.5
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 = {1.5, 1}