6n^2+7=-4n

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Solution for 6n^2+7=-4n equation:


Simplifying
6n2 + 7 = -4n

Reorder the terms:
7 + 6n2 = -4n

Solving
7 + 6n2 = -4n

Solving for variable 'n'.

Reorder the terms:
7 + 4n + 6n2 = -4n + 4n

Combine like terms: -4n + 4n = 0
7 + 4n + 6n2 = 0

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

Divide each side by '6'.
1.166666667 + 0.6666666667n + n2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 0.6666666667n + -1.166666667 + n2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 0.6666666667n + n2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 0.6666666667n + n2 = 0 + -1.166666667
0.6666666667n + n2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
0.6666666667n + n2 = -1.166666667

The n term is 0.6666666667n.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667n + 0.1111111112 + n2 = -1.166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667n + n2 = -1.166666667 + 0.1111111112

Combine like terms: -1.166666667 + 0.1111111112 = -1.0555555558
0.1111111112 + 0.6666666667n + n2 = -1.0555555558

Factor a perfect square on the left side:
(n + 0.3333333334)(n + 0.3333333334) = -1.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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