2y^2=5y

Solution for 2y^2=5y equation:

Simplifying
2y2 = 5y

Solving
2y2 = 5y

Solving for variable 'y'.

Reorder the terms:
-5y + 2y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
-5y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-5 + 2y) = 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 '(-5 + 2y)' equal to zero and attempt to solve:

Simplifying
-5 + 2y = 0

Solving
-5 + 2y = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = 0 + 5
2y = 0 + 5

Combine like terms: 0 + 5 = 5
2y = 5

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {0, 2.5}