8y(3y-2z)=

Solution for 8y(3y-2z)= equation:

Simplifying
8y(3y + -2z) = 0
(3y * 8y + -2z * 8y) = 0

Reorder the terms:
(-16yz + 24y2) = 0
(-16yz + 24y2) = 0

Solving
-16yz + 24y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-2z + 3y) = 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 '(-2z + 3y)' equal to zero and attempt to solve:

Simplifying
-2z + 3y = 0

Reorder the terms:
3y + -2z = 0

Solving
3y + -2z = 0

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

Add '2z' to each side of the equation.
3y + -2z + 2z = 0 + 2z

Combine like terms: -2z + 2z = 0
3y + 0 = 0 + 2z
3y = 0 + 2z
Remove the zero:
3y = 2z

Divide each side by '3'.
y = 0.6666666667z

Simplifying
y = 0.6666666667z
Solution
y = {0, 0.6666666667z}