6(n*n)-n+16=7

Solution for 6(n*n)-n+16=7 equation:

Simplifying
6(n * n) + -1n + 16 = 7

Multiply n * n
6(n2) + -1n + 16 = 7

Reorder the terms:
16 + -1n + 6n2 = 7

Solving
16 + -1n + 6n2 = 7

Solving for variable 'n'.

Reorder the terms:
16 + -7 + -1n + 6n2 = 7 + -7

Combine like terms: 16 + -7 = 9
9 + -1n + 6n2 = 7 + -7

Combine like terms: 7 + -7 = 0
9 + -1n + 6n2 = 0

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

Divide each side by '6'.
1.5 + -0.1666666667n + n2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.1666666667n + -1.5 + n2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.1666666667n + n2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1666666667n + n2 = 0 + -1.5
-0.1666666667n + n2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.1666666667n + n2 = -1.5

The n term is -0.1666666667n.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667n + 0.006944444447 + n2 = -1.5 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667n + n2 = -1.5 + 0.006944444447

Combine like terms: -1.5 + 0.006944444447 = -1.493055555553
0.006944444447 + -0.1666666667n + n2 = -1.493055555553

Factor a perfect square on the left side:
(n + -0.08333333335)(n + -0.08333333335) = -1.493055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.