20y^2=24y

Solution for 20y^2=24y equation:

Simplifying
20y2 = 24y

Solving
20y2 = 24y

Solving for variable 'y'.

Reorder the terms:
-24y + 20y2 = 24y + -24y

Combine like terms: 24y + -24y = 0
-24y + 20y2 = 0

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-6 + 5y) = 0

Ignore the factor 4.
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 + 5y)' equal to zero and attempt to solve:

Simplifying
-6 + 5y = 0

Solving
-6 + 5y = 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 + 5y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 0 + 6
5y = 0 + 6

Combine like terms: 0 + 6 = 6
5y = 6

Divide each side by '5'.
y = 1.2

Simplifying
y = 1.2
Solution
y = {0, 1.2}