a^2+105a=0

Solution for a^2+105a=0 equation:

Simplifying
a2 + 105a = 0

Reorder the terms:
105a + a2 = 0

Solving
105a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(105 + 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 '(105 + a)' equal to zero and attempt to solve:

Simplifying
105 + a = 0

Solving
105 + a = 0

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

Add '-105' to each side of the equation.
105 + -105 + a = 0 + -105

Combine like terms: 105 + -105 = 0
0 + a = 0 + -105
a = 0 + -105

Combine like terms: 0 + -105 = -105
a = -105

Simplifying
a = -105
Solution
a = {0, -105}