10a^2+20a=0

Solution for 10a^2+20a=0 equation:

Simplifying
10a2 + 20a = 0

Reorder the terms:
20a + 10a2 = 0

Solving
20a + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a'.
10a(2 + a) = 0

Ignore the factor 10.
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 '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2
Solution
a = {0, -2}