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

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

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

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

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

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

Combine like terms: -3y + 2y = -1y
0 = (-6 + -1y + y2)

Solving
0 = -6 + -1y + y2

Solving for variable 'y'.

Combine like terms: 0 + 6 = 6
6 + y + -1y2 = -6 + -1y + y2 + 6 + y + -1y2

Reorder the terms:
6 + y + -1y2 = -6 + 6 + -1y + y + y2 + -1y2

Combine like terms: -6 + 6 = 0
6 + y + -1y2 = 0 + -1y + y + y2 + -1y2
6 + y + -1y2 = -1y + y + y2 + -1y2

Combine like terms: -1y + y = 0
6 + y + -1y2 = 0 + y2 + -1y2
6 + y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
6 + y + -1y2 = 0

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

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

Simplifying
3 + -1y = 0

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

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

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

Simplifying
2 + y = 0

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

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

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

Simplifying
y = -2
Solution
y = {3, -2}