-a(a+5)=0

Solution for -a(a+5)=0 equation:

Simplifying
-1a(a + 5) = 0

Reorder the terms:
-1a(5 + a) = 0
(5 * -1a + a * -1a) = 0
(-5a + -1a2) = 0

Solving
-5a + -1a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(5 + a) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

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

Simplifying
5 + a = 0

Solving
5 + a = 0

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

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

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Solution
a = {0, -5}