2y^2=6y

Solution for 2y^2=6y equation:

Simplifying
2y2 = 6y

Solving
2y2 = 6y

Solving for variable 'y'.

Reorder the terms:
-6y + 2y2 = 6y + -6y

Combine like terms: 6y + -6y = 0
-6y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-3 + y) = 0

Ignore the factor 2.
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 '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 0

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

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

Combine like terms: -3 + 3 = 0
0 + y = 0 + 3
y = 0 + 3

Combine like terms: 0 + 3 = 3
y = 3

Simplifying
y = 3
Solution
y = {0, 3}