9n^2-3n-8=-10

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Solution for 9n^2-3n-8=-10 equation: 


Simplifying
9n2 + -3n + -8 = -10

Reorder the terms:
-8 + -3n + 9n2 = -10

Solving
-8 + -3n + 9n2 = -10

Solving for variable 'n'.

Reorder the terms:
-8 + 10 + -3n + 9n2 = -10 + 10

Combine like terms: -8 + 10 = 2
2 + -3n + 9n2 = -10 + 10

Combine like terms: -10 + 10 = 0
2 + -3n + 9n2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The n term is -0.3333333333n.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333n + 0.02777777779 + n2 = -0.2222222222 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333n + n2 = -0.2222222222 + 0.02777777779

Combine like terms: -0.2222222222 + 0.02777777779 = -0.19444444441
0.02777777779 + -0.3333333333n + n2 = -0.19444444441

Factor a perfect square on the left side:
(n + -0.1666666667)(n + -0.1666666667) = -0.19444444441

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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