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

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

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

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

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

Solving for variable 'n'.

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

Combine like terms: 4 + 2 = 6
6 + 2n + -8n2 = -2 + 2

Combine like terms: -2 + 2 = 0
6 + 2n + -8n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + n + -4n2) = 0

Factor a trinomial.
2((1 + -1n)(3 + 4n)) = 0

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

Simplifying
n = 1
Subproblem 2
Set the factor '(3 + 4n)' equal to zero and attempt to solve:

Simplifying
3 + 4n = 0

Solving
3 + 4n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4n = 0 + -3
4n = 0 + -3

Combine like terms: 0 + -3 = -3
4n = -3

Divide each side by '4'.
n = -0.75

Simplifying
n = -0.75
Solution
n = {1, -0.75}