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

Solution for (1-y)(2y+3)=0 equation:

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

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

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

Combine like terms: 2y + -3y = -1y
(3 + -1y + -2y2) = 0

Solving
3 + -1y + -2y2 = 0

Solving for variable 'y'.

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

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
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 = {1, -1.5}