Ey^2=6y

Solution for Ey^2=6y equation:

Simplifying
Ey2 = 6y

Solving
y2E = 6y

Solving for variable 'y'.

Reorder the terms:
-6y + y2E = 6y + -6y

Combine like terms: 6y + -6y = 0
-6y + y2E = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-6 + yE) = 0

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 '(-6 + yE)' equal to zero and attempt to solve:

Simplifying
-6 + yE = 0

Solving
-6 + yE = 0

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

Add '6' to each side of the equation.
-6 + 6 + yE = 0 + 6

Combine like terms: -6 + 6 = 0
0 + yE = 0 + 6
yE = 0 + 6

Combine like terms: 0 + 6 = 6
yE = 6

Divide each side by 'E'.
y = 6E-1

Simplifying
y = 6E-1
Solution
y = {0, 6E-1}