3n^2-n=n^2-1

Solution for 3n^2-n=n^2-1 equation:

Simplifying
3n2 + -1n = n2 + -1

Reorder the terms:
-1n + 3n2 = n2 + -1

Reorder the terms:
-1n + 3n2 = -1 + n2

Solving
-1n + 3n2 = -1 + n2

Solving for variable 'n'.

Reorder the terms:
1 + -1n + 3n2 + -1n2 = -1 + n2 + 1 + -1n2

Combine like terms: 3n2 + -1n2 = 2n2
1 + -1n + 2n2 = -1 + n2 + 1 + -1n2

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

Combine like terms: -1 + 1 = 0
1 + -1n + 2n2 = 0 + n2 + -1n2
1 + -1n + 2n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
1 + -1n + 2n2 = 0

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

Divide each side by '2'.
0.5 + -0.5n + n2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.5n + -0.5 + n2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5n + n2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5n + n2 = 0 + -0.5
-0.5n + n2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5n + n2 = -0.5

The n term is -0.5n.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5n + 0.0625 + n2 = -0.5 + 0.0625

Reorder the terms:
0.0625 + -0.5n + n2 = -0.5 + 0.0625

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + -0.5n + n2 = -0.4375

Factor a perfect square on the left side:
(n + -0.25)(n + -0.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.