(2y+3)(3y+2)=

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

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

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

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

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

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

Solving
6 + 13y + 6y2 = 0

Solving for variable 'y'.

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

Subproblem 1
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
Subproblem 2
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
Solution
y = {-1.5, -0.6666666667}