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

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

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

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

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

Multiply (-5 + 2y) * (-1 + 3y)
(-5(-1 + 3y) + 2y * (-1 + 3y)) = 0
((-1 * -5 + 3y * -5) + 2y * (-1 + 3y)) = 0
((5 + -15y) + 2y * (-1 + 3y)) = 0
(5 + -15y + (-1 * 2y + 3y * 2y)) = 0
(5 + -15y + (-2y + 6y2)) = 0

Combine like terms: -15y + -2y = -17y
(5 + -17y + 6y2) = 0

Solving
5 + -17y + 6y2 = 0

Solving for variable 'y'.

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

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

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve:

Simplifying
5 + -2y = 0

Solving
5 + -2y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = 0 + -5
-2y = 0 + -5

Combine like terms: 0 + -5 = -5
-2y = -5

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {0.3333333333, 2.5}