5y(y-9)=0

Solution for 5y(y-9)=0 equation:

Simplifying
5y(y + -9) = 0

Reorder the terms:
5y(-9 + y) = 0
(-9 * 5y + y * 5y) = 0
(-45y + 5y2) = 0

Solving
-45y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-9 + y) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-9 + y)' equal to zero and attempt to solve:

Simplifying
-9 + y = 0

Solving
-9 + y = 0

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

Add '9' to each side of the equation.
-9 + 9 + y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + y = 0 + 9
y = 0 + 9

Combine like terms: 0 + 9 = 9
y = 9

Simplifying
y = 9
Solution
y = {0, 9}