2n^2+8=2n+3

Solution for 2n^2+8=2n+3 equation:

Simplifying
2n2 + 8 = 2n + 3

Reorder the terms:
8 + 2n2 = 2n + 3

Reorder the terms:
8 + 2n2 = 3 + 2n

Solving
8 + 2n2 = 3 + 2n

Solving for variable 'n'.

Reorder the terms:
8 + -3 + -2n + 2n2 = 3 + 2n + -3 + -2n

Combine like terms: 8 + -3 = 5
5 + -2n + 2n2 = 3 + 2n + -3 + -2n

Reorder the terms:
5 + -2n + 2n2 = 3 + -3 + 2n + -2n

Combine like terms: 3 + -3 = 0
5 + -2n + 2n2 = 0 + 2n + -2n
5 + -2n + 2n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
5 + -2n + 2n2 = 0

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

Divide each side by '2'.
2.5 + -1n + n2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1n + -2.5 + n2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1n + n2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1n + n2 = 0 + -2.5
-1n + n2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1n + n2 = -2.5

The n term is -1n.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1n + 0.25 + n2 = -2.5 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -1n + n2 = -2.25

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.