27a^2+a^5b^3=

Solution for 27a^2+a^5b^3= equation:

Simplifying
27a2 + a5b3 = 0

Solving
27a2 + a5b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(27 + a3b3) = 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 '(27 + a3b3)' equal to zero and attempt to solve:

Simplifying
27 + a3b3 = 0

Solving
27 + a3b3 = 0

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

Add '-27' to each side of the equation.
27 + -27 + a3b3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + a3b3 = 0 + -27
a3b3 = 0 + -27

Combine like terms: 0 + -27 = -27
a3b3 = -27

Divide each side by 'b3'.
a3 = -27b-3

Simplifying
a3 = -27b-3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}