15n^2-2n=-8

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Solution for 15n^2-2n=-8 equation: 


Simplifying
15n2 + -2n = -8

Reorder the terms:
-2n + 15n2 = -8

Solving
-2n + 15n2 = -8

Solving for variable 'n'.

Reorder the terms:
8 + -2n + 15n2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -2n + 15n2 = 0

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

Divide each side by '15'.
0.5333333333 + -0.1333333333n + n2 = 0

Move the constant term to the right:

Add '-0.5333333333' to each side of the equation.
0.5333333333 + -0.1333333333n + -0.5333333333 + n2 = 0 + -0.5333333333

Reorder the terms:
0.5333333333 + -0.5333333333 + -0.1333333333n + n2 = 0 + -0.5333333333

Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000
0.0000000000 + -0.1333333333n + n2 = 0 + -0.5333333333
-0.1333333333n + n2 = 0 + -0.5333333333

Combine like terms: 0 + -0.5333333333 = -0.5333333333
-0.1333333333n + n2 = -0.5333333333

The n term is -0.1333333333n.  Take half its coefficient (-0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
-0.1333333333n + 0.004444444442 + n2 = -0.5333333333 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333n + n2 = -0.5333333333 + 0.004444444442

Combine like terms: -0.5333333333 + 0.004444444442 = -0.528888888858
0.004444444442 + -0.1333333333n + n2 = -0.528888888858

Factor a perfect square on the left side:
(n + -0.06666666665)(n + -0.06666666665) = -0.528888888858

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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