=m*(m+3)

Solution for =m*(m+3) equation:

Simplifying
0 = m(m + 3)

Reorder the terms:
0 = m(3 + m)
0 = (3 * m + m * m)
0 = (3m + m2)

Solving
0 = 3m + m2

Solving for variable 'm'.
Remove the zero:
-3m + -1m2 = 3m + m2 + -3m + -1m2

Reorder the terms:
-3m + -1m2 = 3m + -3m + m2 + -1m2

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

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

Factor out the Greatest Common Factor (GCF), '-1m'.
-1m(3 + m) = 0

Ignore the factor -1.
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}