(y+6)(y-3)=

Solution for (y+6)(y-3)= equation:

Simplifying
(y + 6)(y + -3) = 0

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

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

Multiply (6 + y) * (-3 + y)
(6(-3 + y) + y(-3 + y)) = 0
((-3 * 6 + y * 6) + y(-3 + y)) = 0
((-18 + 6y) + y(-3 + y)) = 0
(-18 + 6y + (-3 * y + y * y)) = 0
(-18 + 6y + (-3y + y2)) = 0

Combine like terms: 6y + -3y = 3y
(-18 + 3y + y2) = 0

Solving
-18 + 3y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(3 + -1y) = 0

Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve:

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1y = 0 + 6

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

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

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
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
Solution
y = {-6, 3}