(n+4)(n-3)=98

Solution for (n+4)(n-3)=98 equation:

Simplifying
(n + 4)(n + -3) = 98

Reorder the terms:
(4 + n)(n + -3) = 98

Reorder the terms:
(4 + n)(-3 + n) = 98

Multiply (4 + n) * (-3 + n)
(4(-3 + n) + n(-3 + n)) = 98
((-3 * 4 + n * 4) + n(-3 + n)) = 98
((-12 + 4n) + n(-3 + n)) = 98
(-12 + 4n + (-3 * n + n * n)) = 98
(-12 + 4n + (-3n + n2)) = 98

Combine like terms: 4n + -3n = 1n
(-12 + 1n + n2) = 98

Solving
-12 + 1n + n2 = 98

Solving for variable 'n'.

Reorder the terms:
-12 + -98 + 1n + n2 = 98 + -98

Combine like terms: -12 + -98 = -110
-110 + 1n + n2 = 98 + -98

Combine like terms: 98 + -98 = 0
-110 + 1n + n2 = 0

Factor a trinomial.
(-11 + -1n)(10 + -1n) = 0

Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve:

Simplifying
-11 + -1n = 0

Solving
-11 + -1n = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1n = 0 + 11
-1n = 0 + 11

Combine like terms: 0 + 11 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11
Subproblem 2
Set the factor '(10 + -1n)' equal to zero and attempt to solve:

Simplifying
10 + -1n = 0

Solving
10 + -1n = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 0 + -10
-1n = 0 + -10

Combine like terms: 0 + -10 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10
Solution
n = {-11, 10}