5a^2+14a^3=0

Solution for 5a^2+14a^3=0 equation:

Simplifying
5a2 + 14a3 = 0

Solving
5a2 + 14a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(5 + 14a) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(5 + 14a)' equal to zero and attempt to solve:

Simplifying
5 + 14a = 0

Solving
5 + 14a = 0

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

Add '-5' to each side of the equation.
5 + -5 + 14a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 14a = 0 + -5
14a = 0 + -5

Combine like terms: 0 + -5 = -5
14a = -5

Divide each side by '14'.
a = -0.3571428571

Simplifying
a = -0.3571428571
Solution
a = {0, -0.3571428571}