a^2+13a=0

Solution for a^2+13a=0 equation:

Simplifying
a2 + 13a = 0

Reorder the terms:
13a + a2 = 0

Solving
13a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(13 + a) = 0

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 '(13 + a)' equal to zero and attempt to solve:

Simplifying
13 + a = 0

Solving
13 + a = 0

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

Add '-13' to each side of the equation.
13 + -13 + a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + a = 0 + -13
a = 0 + -13

Combine like terms: 0 + -13 = -13
a = -13

Simplifying
a = -13
Solution
a = {0, -13}