9y^2-54y^3+45y^2=0

Solution for 9y^2-54y^3+45y^2=0 equation:

Simplifying
9y2 + -54y3 + 45y2 = 0

Reorder the terms:
9y2 + 45y2 + -54y3 = 0

Combine like terms: 9y2 + 45y2 = 54y2
54y2 + -54y3 = 0

Solving
54y2 + -54y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '54y2'.
54y2(1 + -1y) = 0

Ignore the factor 54.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {0, 1}