24a+240a^2=0

Solution for 24a+240a^2=0 equation:

Simplifying
24a + 240a2 = 0

Solving
24a + 240a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '24a'.
24a(1 + 10a) = 0

Ignore the factor 24.
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 '(1 + 10a)' equal to zero and attempt to solve:

Simplifying
1 + 10a = 0

Solving
1 + 10a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 10a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10a = 0 + -1
10a = 0 + -1

Combine like terms: 0 + -1 = -1
10a = -1

Divide each side by '10'.
a = -0.1

Simplifying
a = -0.1
Solution
a = {0, -0.1}