3r^2y+15r^3y^6=

Solution for 3r^2y+15r^3y^6= equation:

Simplifying
3r2y + 15r3y6 = 0

Solving
3r2y + 15r3y6 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r2y'.
3r2y(1 + 5ry5) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'r2y' equal to zero and attempt to solve:

Simplifying
r2y = 0

Solving
r2y = 0

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

Simplifying
r2y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + 5ry5)' equal to zero and attempt to solve:

Simplifying
1 + 5ry5 = 0

Solving
1 + 5ry5 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5ry5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5ry5 = 0 + -1
5ry5 = 0 + -1

Combine like terms: 0 + -1 = -1
5ry5 = -1

Divide each side by '5y5'.
r = -0.2y-5

Simplifying
r = -0.2y-5
Solution
r = {-0.2y-5}