9n^2+3=-2n

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Solution for 9n^2+3=-2n equation:


Simplifying
9n2 + 3 = -2n

Reorder the terms:
3 + 9n2 = -2n

Solving
3 + 9n2 = -2n

Solving for variable 'n'.

Reorder the terms:
3 + 2n + 9n2 = -2n + 2n

Combine like terms: -2n + 2n = 0
3 + 2n + 9n2 = 0

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

Divide each side by '9'.
0.3333333333 + 0.2222222222n + n2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.2222222222n + -0.3333333333 + n2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.2222222222n + n2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.2222222222n + n2 = 0 + -0.3333333333
0.2222222222n + n2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.2222222222n + n2 = -0.3333333333

The n term is 0.2222222222n.  Take half its coefficient (0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
0.2222222222n + 0.01234567901 + n2 = -0.3333333333 + 0.01234567901

Reorder the terms:
0.01234567901 + 0.2222222222n + n2 = -0.3333333333 + 0.01234567901

Combine like terms: -0.3333333333 + 0.01234567901 = -0.32098765429
0.01234567901 + 0.2222222222n + n2 = -0.32098765429

Factor a perfect square on the left side:
(n + 0.1111111111)(n + 0.1111111111) = -0.32098765429

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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