3a^2-15a^3y+18a^4y^2=

Solution for 3a^2-15a^3y+18a^4y^2= equation:

Simplifying
3a2 + -15a3y + 18a4y2 = 0

Solving
3a2 + -15a3y + 18a4y2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2'.
3a2(1 + -5ay + 6a2y2) = 0

Factor a trinomial.
3a2((1 + -3ay)(1 + -2ay)) = 0

Ignore the factor 3.
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 '(1 + -3ay)' equal to zero and attempt to solve:

Simplifying
1 + -3ay = 0

Solving
1 + -3ay = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3ay = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3ay = 0 + -1
-3ay = 0 + -1

Combine like terms: 0 + -1 = -1
-3ay = -1

Divide each side by '-3y'.
a = 0.3333333333y-1

Simplifying
a = 0.3333333333y-1
Subproblem 3
Set the factor '(1 + -2ay)' equal to zero and attempt to solve:

Simplifying
1 + -2ay = 0

Solving
1 + -2ay = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2ay = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2ay = 0 + -1
-2ay = 0 + -1

Combine like terms: 0 + -1 = -1
-2ay = -1

Divide each side by '-2y'.
a = 0.5y-1

Simplifying
a = 0.5y-1
Solution
a = {0, 0.3333333333y-1, 0.5y-1}