(5y-1)(3-2y)=0

Solution for (5y-1)(3-2y)=0 equation:

Simplifying
(5y + -1)(3 + -2y) = 0

Reorder the terms:
(-1 + 5y)(3 + -2y) = 0

Multiply (-1 + 5y) * (3 + -2y)
(-1(3 + -2y) + 5y * (3 + -2y)) = 0
((3 * -1 + -2y * -1) + 5y * (3 + -2y)) = 0
((-3 + 2y) + 5y * (3 + -2y)) = 0
(-3 + 2y + (3 * 5y + -2y * 5y)) = 0
(-3 + 2y + (15y + -10y2)) = 0

Combine like terms: 2y + 15y = 17y
(-3 + 17y + -10y2) = 0

Solving
-3 + 17y + -10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + 2y)(1 + -5y) = 0

Subproblem 1
Set the factor '(-3 + 2y)' equal to zero and attempt to solve:

Simplifying
-3 + 2y = 0

Solving
-3 + 2y = 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 + 2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 0 + 3
2y = 0 + 3

Combine like terms: 0 + 3 = 3
2y = 3

Divide each side by '2'.
y = 1.5

Simplifying
y = 1.5
Subproblem 2
Set the factor '(1 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Solution
y = {1.5, 0.2}