4n^2+9n-88=2

Solution for 4n^2+9n-88=2 equation:

Simplifying
4n2 + 9n + -88 = 2

Reorder the terms:
-88 + 9n + 4n2 = 2

Solving
-88 + 9n + 4n2 = 2

Solving for variable 'n'.

Reorder the terms:
-88 + -2 + 9n + 4n2 = 2 + -2

Combine like terms: -88 + -2 = -90
-90 + 9n + 4n2 = 2 + -2

Combine like terms: 2 + -2 = 0
-90 + 9n + 4n2 = 0

Factor a trinomial.
(-6 + -1n)(15 + -4n) = 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 '(15 + -4n)' equal to zero and attempt to solve:

Simplifying
15 + -4n = 0

Solving
15 + -4n = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4n = 0 + -15
-4n = 0 + -15

Combine like terms: 0 + -15 = -15
-4n = -15

Divide each side by '-4'.
n = 3.75

Simplifying
n = 3.75
Solution
n = {-6, 3.75}