15x^5+20x^2=0

Solution for 15x^5+20x^2=0 equation:

Simplifying
15x5 + 20x2 = 0

Reorder the terms:
20x2 + 15x5 = 0

Solving
20x2 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(4 + 3x3) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(4 + 3x3)' equal to zero and attempt to solve:

Simplifying
4 + 3x3 = 0

Solving
4 + 3x3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x3 = 0 + -4
3x3 = 0 + -4

Combine like terms: 0 + -4 = -4
3x3 = -4

Divide each side by '3'.
x3 = -1.333333333

Simplifying
x3 = -1.333333333

The solution to this equation could not be determined.

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