4m^2-m(2-m)=

Solution for 4m^2-m(2-m)= equation:

Simplifying
4m2 + -1m(2 + -1m) = 0
4m2 + (2 * -1m + -1m * -1m) = 0
4m2 + (-2m + 1m2) = 0

Reorder the terms:
-2m + 4m2 + 1m2 = 0

Combine like terms: 4m2 + 1m2 = 5m2
-2m + 5m2 = 0

Solving
-2m + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + 5m) = 0

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(-2 + 5m)' equal to zero and attempt to solve:

Simplifying
-2 + 5m = 0

Solving
-2 + 5m = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5m = 0 + 2

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

Combine like terms: 0 + 2 = 2
5m = 2

Divide each side by '5'.
m = 0.4

Simplifying
m = 0.4
Solution
m = {0, 0.4}