8y(5y-6)=0

Solution for 8y(5y-6)=0 equation:

Simplifying
8y(5y + -6) = 0

Reorder the terms:
8y(-6 + 5y) = 0
(-6 * 8y + 5y * 8y) = 0
(-48y + 40y2) = 0

Solving
-48y + 40y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-6 + 5y) = 0

Ignore the factor 8.
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}