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

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

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

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

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

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

Combine like terms: -6y + -5y = -11y
(2 + -11y + 15y2) = 0

Solving
2 + -11y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -3y)(2 + -5y) = 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 '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 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 + -5y = 0 + -2

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

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

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {0.3333333333, 0.4}