(6-y)(5y-3)=0

Solution for (6-y)(5y-3)=0 equation:

Simplifying
(6 + -1y)(5y + -3) = 0

Reorder the terms:
(6 + -1y)(-3 + 5y) = 0

Multiply (6 + -1y) * (-3 + 5y)
(6(-3 + 5y) + -1y * (-3 + 5y)) = 0
((-3 * 6 + 5y * 6) + -1y * (-3 + 5y)) = 0
((-18 + 30y) + -1y * (-3 + 5y)) = 0
(-18 + 30y + (-3 * -1y + 5y * -1y)) = 0
(-18 + 30y + (3y + -5y2)) = 0

Combine like terms: 30y + 3y = 33y
(-18 + 33y + -5y2) = 0

Solving
-18 + 33y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + y)(3 + -5y) = 0

Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve:

Simplifying
-6 + y = 0

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

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

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

Simplifying
y = 6
Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve:

Simplifying
3 + -5y = 0

Solving
3 + -5y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 0 + -3
-5y = 0 + -3

Combine like terms: 0 + -3 = -3
-5y = -3

Divide each side by '-5'.
y = 0.6

Simplifying
y = 0.6
Solution
y = {6, 0.6}