15x^2+8x^3=0

Solution for 15x^2+8x^3=0 equation:

Simplifying
15x2 + 8x3 = 0

Solving
15x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(15 + 8x) = 0

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 '(15 + 8x)' equal to zero and attempt to solve:

Simplifying
15 + 8x = 0

Solving
15 + 8x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 8x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 0 + -15
8x = 0 + -15

Combine like terms: 0 + -15 = -15
8x = -15

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875
Solution
x = {0, -1.875}