(5y-3)(2y-4)=0

Solution for (5y-3)(2y-4)=0 equation:

Simplifying
(5y + -3)(2y + -4) = 0

Reorder the terms:
(-3 + 5y)(2y + -4) = 0

Reorder the terms:
(-3 + 5y)(-4 + 2y) = 0

Multiply (-3 + 5y) * (-4 + 2y)
(-3(-4 + 2y) + 5y * (-4 + 2y)) = 0
((-4 * -3 + 2y * -3) + 5y * (-4 + 2y)) = 0
((12 + -6y) + 5y * (-4 + 2y)) = 0
(12 + -6y + (-4 * 5y + 2y * 5y)) = 0
(12 + -6y + (-20y + 10y2)) = 0

Combine like terms: -6y + -20y = -26y
(12 + -26y + 10y2) = 0

Solving
12 + -26y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -13y + 5y2) = 0

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

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0.6, 2}