4n^2+8n-79=-2

Solution for 4n^2+8n-79=-2 equation:

Simplifying
4n2 + 8n + -79 = -2

Reorder the terms:
-79 + 8n + 4n2 = -2

Solving
-79 + 8n + 4n2 = -2

Solving for variable 'n'.

Reorder the terms:
-79 + 2 + 8n + 4n2 = -2 + 2

Combine like terms: -79 + 2 = -77
-77 + 8n + 4n2 = -2 + 2

Combine like terms: -2 + 2 = 0
-77 + 8n + 4n2 = 0

Factor a trinomial.
(-11 + -2n)(7 + -2n) = 0

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

Simplifying
-11 + -2n = 0

Solving
-11 + -2n = 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 + -2n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2n = 0 + 11
-2n = 0 + 11

Combine like terms: 0 + 11 = 11
-2n = 11

Divide each side by '-2'.
n = -5.5

Simplifying
n = -5.5
Subproblem 2
Set the factor '(7 + -2n)' equal to zero and attempt to solve:

Simplifying
7 + -2n = 0

Solving
7 + -2n = 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 + -2n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2n = 0 + -7
-2n = 0 + -7

Combine like terms: 0 + -7 = -7
-2n = -7

Divide each side by '-2'.
n = 3.5

Simplifying
n = 3.5
Solution
n = {-5.5, 3.5}