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

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

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

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

Multiply (3 + -2y) * (5 + 2y)
(3(5 + 2y) + -2y * (5 + 2y)) = 0
((5 * 3 + 2y * 3) + -2y * (5 + 2y)) = 0
((15 + 6y) + -2y * (5 + 2y)) = 0
(15 + 6y + (5 * -2y + 2y * -2y)) = 0
(15 + 6y + (-10y + -4y2)) = 0

Combine like terms: 6y + -10y = -4y
(15 + -4y + -4y2) = 0

Solving
15 + -4y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -2y)(5 + 2y) = 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 '(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 = {1.5, -2.5}