(3y-2)(2y-3)=

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

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

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

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

Multiply (-2 + 3y) * (-3 + 2y)
(-2(-3 + 2y) + 3y * (-3 + 2y)) = 0
((-3 * -2 + 2y * -2) + 3y * (-3 + 2y)) = 0
((6 + -4y) + 3y * (-3 + 2y)) = 0
(6 + -4y + (-3 * 3y + 2y * 3y)) = 0
(6 + -4y + (-9y + 6y2)) = 0

Combine like terms: -4y + -9y = -13y
(6 + -13y + 6y2) = 0

Solving
6 + -13y + 6y2 = 0

Solving for variable 'y'.

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

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

Simplifying
2 + -3y = 0

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

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

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

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667
Subproblem 2
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
Solution
y = {0.6666666667, 1.5}