(y+6)(y-4)=

Solution for (y+6)(y-4)= equation:

Simplifying
(y + 6)(y + -4) = 0

Reorder the terms:
(6 + y)(y + -4) = 0

Reorder the terms:
(6 + y)(-4 + y) = 0

Multiply (6 + y) * (-4 + y)
(6(-4 + y) + y(-4 + y)) = 0
((-4 * 6 + y * 6) + y(-4 + y)) = 0
((-24 + 6y) + y(-4 + y)) = 0
(-24 + 6y + (-4 * y + y * y)) = 0
(-24 + 6y + (-4y + y2)) = 0

Combine like terms: 6y + -4y = 2y
(-24 + 2y + y2) = 0

Solving
-24 + 2y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(4 + -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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-6, 4}