-9n^2+8n-9=-6

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Solution for -9n^2+8n-9=-6 equation:


Simplifying
-9n2 + 8n + -9 = -6

Reorder the terms:
-9 + 8n + -9n2 = -6

Solving
-9 + 8n + -9n2 = -6

Solving for variable 'n'.

Reorder the terms:
-9 + 6 + 8n + -9n2 = -6 + 6

Combine like terms: -9 + 6 = -3
-3 + 8n + -9n2 = -6 + 6

Combine like terms: -6 + 6 = 0
-3 + 8n + -9n2 = 0

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

Divide each side by '-9'.
0.3333333333 + -0.8888888889n + n2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.8888888889n + -0.3333333333 + n2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.8888888889n + n2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.8888888889n + n2 = 0 + -0.3333333333
-0.8888888889n + n2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.8888888889n + n2 = -0.3333333333

The n term is -0.8888888889n.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889n + 0.1975308642 + n2 = -0.3333333333 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889n + n2 = -0.3333333333 + 0.1975308642

Combine like terms: -0.3333333333 + 0.1975308642 = -0.1358024691
0.1975308642 + -0.8888888889n + n2 = -0.1358024691

Factor a perfect square on the left side:
(n + -0.4444444445)(n + -0.4444444445) = -0.1358024691

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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