(n+6)(n-4)=

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

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

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

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

Multiply (6 + n) * (-4 + n)
(6(-4 + n) + n(-4 + n)) = 0
((-4 * 6 + n * 6) + n(-4 + n)) = 0
((-24 + 6n) + n(-4 + n)) = 0
(-24 + 6n + (-4 * n + n * n)) = 0
(-24 + 6n + (-4n + n2)) = 0

Combine like terms: 6n + -4n = 2n
(-24 + 2n + n2) = 0

Solving
-24 + 2n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-6 + -1n)(4 + -1n) = 0

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

Simplifying
-6 + -1n = 0

Solving
-6 + -1n = 0

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

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

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

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

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

Simplifying
n = -6
Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

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

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

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

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

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