=5m(m+4)

Solution for =5m(m+4) equation:

Simplifying
0 = 5m(m + 4)

Reorder the terms:
0 = 5m(4 + m)
0 = (4 * 5m + m * 5m)
0 = (20m + 5m2)

Solving
0 = 20m + 5m2

Solving for variable 'm'.
Remove the zero:
-20m + -5m2 = 20m + 5m2 + -20m + -5m2

Reorder the terms:
-20m + -5m2 = 20m + -20m + 5m2 + -5m2

Combine like terms: 20m + -20m = 0
-20m + -5m2 = 0 + 5m2 + -5m2
-20m + -5m2 = 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-20m + -5m2 = 0

Factor out the Greatest Common Factor (GCF), '-5m'.
-5m(4 + m) = 0

Ignore the factor -5.
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 '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 0

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

Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4

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

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

Simplifying
m = -4
Solution
m = {0, -4}