5n^2+10n+95=3

Solution for 5n^2+10n+95=3 equation:

Simplifying
5n2 + 10n + 95 = 3

Reorder the terms:
95 + 10n + 5n2 = 3

Solving
95 + 10n + 5n2 = 3

Solving for variable 'n'.

Reorder the terms:
95 + -3 + 10n + 5n2 = 3 + -3

Combine like terms: 95 + -3 = 92
92 + 10n + 5n2 = 3 + -3

Combine like terms: 3 + -3 = 0
92 + 10n + 5n2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
18.4 + 2n + n2 = 0

Move the constant term to the right:

Add '-18.4' to each side of the equation.
18.4 + 2n + -18.4 + n2 = 0 + -18.4

Reorder the terms:
18.4 + -18.4 + 2n + n2 = 0 + -18.4

Combine like terms: 18.4 + -18.4 = 0.0
0.0 + 2n + n2 = 0 + -18.4
2n + n2 = 0 + -18.4

Combine like terms: 0 + -18.4 = -18.4
2n + n2 = -18.4

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -18.4 + 1

Reorder the terms:
1 + 2n + n2 = -18.4 + 1

Combine like terms: -18.4 + 1 = -17.4
1 + 2n + n2 = -17.4

Factor a perfect square on the left side:
(n + 1)(n + 1) = -17.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.