10a+a^2=0

Solution for 10a+a^2=0 equation:

Simplifying
10a + a2 = 0

Solving
10a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(10 + 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 '(10 + a)' equal to zero and attempt to solve:

Simplifying
10 + a = 0

Solving
10 + a = 0

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

Add '-10' to each side of the equation.
10 + -10 + a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + a = 0 + -10
a = 0 + -10

Combine like terms: 0 + -10 = -10
a = -10

Simplifying
a = -10
Solution
a = {0, -10}