6n^2+7=-7n

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Solution for 6n^2+7=-7n equation: 


Simplifying
6n2 + 7 = -7n

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

Solving
7 + 6n2 = -7n

Solving for variable 'n'.

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

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

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

Divide each side by '6'.
1.166666667 + 1.166666667n + n2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 1.166666667n + -1.166666667 + n2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 1.166666667n + n2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 1.166666667n + n2 = 0 + -1.166666667
1.166666667n + n2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
1.166666667n + n2 = -1.166666667

The n term is 1.166666667n.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667n + 0.3402777780 + n2 = -1.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667n + n2 = -1.166666667 + 0.3402777780

Combine like terms: -1.166666667 + 0.3402777780 = -0.826388889
0.3402777780 + 1.166666667n + n2 = -0.826388889

Factor a perfect square on the left side:
(n + 0.5833333335)(n + 0.5833333335) = -0.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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