4n^2+9n-99=1

Solution for 4n^2+9n-99=1 equation:

Simplifying
4n2 + 9n + -99 = 1

Reorder the terms:
-99 + 9n + 4n2 = 1

Solving
-99 + 9n + 4n2 = 1

Solving for variable 'n'.

Reorder the terms:
-99 + -1 + 9n + 4n2 = 1 + -1

Combine like terms: -99 + -1 = -100
-100 + 9n + 4n2 = 1 + -1

Combine like terms: 1 + -1 = 0
-100 + 9n + 4n2 = 0

Factor a trinomial.
(-25 + -4n)(4 + -1n) = 0

Subproblem 1
Set the factor '(-25 + -4n)' equal to zero and attempt to solve:

Simplifying
-25 + -4n = 0

Solving
-25 + -4n = 0

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

Add '25' to each side of the equation.
-25 + 25 + -4n = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -4n = 0 + 25
-4n = 0 + 25

Combine like terms: 0 + 25 = 25
-4n = 25

Divide each side by '-4'.
n = -6.25

Simplifying
n = -6.25
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 = {-6.25, 4}