(n+14)(n-3)=

Solution for (n+14)(n-3)= equation:

Simplifying
(n + 14)(n + -3) = 0

Reorder the terms:
(14 + n)(n + -3) = 0

Reorder the terms:
(14 + n)(-3 + n) = 0

Multiply (14 + n) * (-3 + n)
(14(-3 + n) + n(-3 + n)) = 0
((-3 * 14 + n * 14) + n(-3 + n)) = 0
((-42 + 14n) + n(-3 + n)) = 0
(-42 + 14n + (-3 * n + n * n)) = 0
(-42 + 14n + (-3n + n2)) = 0

Combine like terms: 14n + -3n = 11n
(-42 + 11n + n2) = 0

Solving
-42 + 11n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-14 + -1n)(3 + -1n) = 0

Subproblem 1
Set the factor '(-14 + -1n)' equal to zero and attempt to solve:

Simplifying
-14 + -1n = 0

Solving
-14 + -1n = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1n = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1n = 0 + 14
-1n = 0 + 14

Combine like terms: 0 + 14 = 14
-1n = 14

Divide each side by '-1'.
n = -14

Simplifying
n = -14
Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve:

Simplifying
3 + -1n = 0

Solving
3 + -1n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

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

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

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

Simplifying
n = 3
Solution
n = {-14, 3}