(y+6)(y-5)=0

Solution for (y+6)(y-5)=0 equation:

Simplifying
(y + 6)(y + -5) = 0

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

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

Multiply (6 + y) * (-5 + y)
(6(-5 + y) + y(-5 + y)) = 0
((-5 * 6 + y * 6) + y(-5 + y)) = 0
((-30 + 6y) + y(-5 + y)) = 0
(-30 + 6y + (-5 * y + y * y)) = 0
(-30 + 6y + (-5y + y2)) = 0

Combine like terms: 6y + -5y = 1y
(-30 + 1y + y2) = 0

Solving
-30 + 1y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(5 + -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 '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-6, 5}