4m^2-(2m+3m^2)+5m=

Solution for 4m^2-(2m+3m^2)+5m= equation:

Simplifying
4m2 + -1(2m + 3m2) + 5m = 0
4m2 + (2m * -1 + 3m2 * -1) + 5m = 0
4m2 + (-2m + -3m2) + 5m = 0

Reorder the terms:
-2m + 5m + 4m2 + -3m2 = 0

Combine like terms: -2m + 5m = 3m
3m + 4m2 + -3m2 = 0

Combine like terms: 4m2 + -3m2 = 1m2
3m + 1m2 = 0

Solving
3m + 1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(3 + m) = 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 '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

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

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

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

Simplifying
m = -3
Solution
m = {0, -3}