15g^3+24g^2+9g=0

Solution for 15g^3+24g^2+9g=0 equation:

Simplifying
15g3 + 24g2 + 9g = 0

Reorder the terms:
9g + 24g2 + 15g3 = 0

Solving
9g + 24g2 + 15g3 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3g'.
3g(3 + 8g + 5g2) = 0

Factor a trinomial.
3g((1 + g)(3 + 5g)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 0

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

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

Combine like terms: 1 + -1 = 0
0 + g = 0 + -1
g = 0 + -1

Combine like terms: 0 + -1 = -1
g = -1

Simplifying
g = -1
Subproblem 3
Set the factor '(3 + 5g)' equal to zero and attempt to solve:

Simplifying
3 + 5g = 0

Solving
3 + 5g = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5g = 0 + -3
5g = 0 + -3

Combine like terms: 0 + -3 = -3
5g = -3

Divide each side by '5'.
g = -0.6

Simplifying
g = -0.6
Solution
g = {0, -1, -0.6}