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

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

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

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

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

Multiply (-3 + 5y) * (-1 + 2y)
(-3(-1 + 2y) + 5y * (-1 + 2y)) = 0
((-1 * -3 + 2y * -3) + 5y * (-1 + 2y)) = 0
((3 + -6y) + 5y * (-1 + 2y)) = 0
(3 + -6y + (-1 * 5y + 2y * 5y)) = 0
(3 + -6y + (-5y + 10y2)) = 0

Combine like terms: -6y + -5y = -11y
(3 + -11y + 10y2) = 0

Solving
3 + -11y + 10y2 = 0

Solving for variable 'y'.

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

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
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 = {0.5, 0.6}