(n+7)(n-2)=

Solution for (n+7)(n-2)= equation:

Simplifying
(n + 7)(n + -2) = 0

Reorder the terms:
(7 + n)(n + -2) = 0

Reorder the terms:
(7 + n)(-2 + n) = 0

Multiply (7 + n) * (-2 + n)
(7(-2 + n) + n(-2 + n)) = 0
((-2 * 7 + n * 7) + n(-2 + n)) = 0
((-14 + 7n) + n(-2 + n)) = 0
(-14 + 7n + (-2 * n + n * n)) = 0
(-14 + 7n + (-2n + n2)) = 0

Combine like terms: 7n + -2n = 5n
(-14 + 5n + n2) = 0

Solving
-14 + 5n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-7 + -1n)(2 + -1n) = 0

Subproblem 1
Set the factor '(-7 + -1n)' equal to zero and attempt to solve:

Simplifying
-7 + -1n = 0

Solving
-7 + -1n = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1n = 0 + 7
-1n = 0 + 7

Combine like terms: 0 + 7 = 7
-1n = 7

Divide each side by '-1'.
n = -7

Simplifying
n = -7
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-7, 2}