m(5m-2)=3

Solution for m(5m-2)=3 equation:

Simplifying
m(5m + -2) = 3

Reorder the terms:
m(-2 + 5m) = 3
(-2 * m + 5m * m) = 3
(-2m + 5m2) = 3

Solving
-2m + 5m2 = 3

Solving for variable 'm'.

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

Combine like terms: 3 + -3 = 0
-3 + -2m + 5m2 = 0

Factor a trinomial.
(-3 + -5m)(1 + -1m) = 0

Subproblem 1
Set the factor '(-3 + -5m)' equal to zero and attempt to solve:

Simplifying
-3 + -5m = 0

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

Combine like terms: -3 + 3 = 0
0 + -5m = 0 + 3
-5m = 0 + 3

Combine like terms: 0 + 3 = 3
-5m = 3

Divide each side by '-5'.
m = -0.6

Simplifying
m = -0.6
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 = {-0.6, 1}