-5n^2+6n-6=0

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Solution for -5n^2+6n-6=0 equation:


Simplifying
-5n2 + 6n + -6 = 0

Reorder the terms:
-6 + 6n + -5n2 = 0

Solving
-6 + 6n + -5n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.2 + -1.2n + n2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.2n + -1.2 + n2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.2n + n2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.2n + n2 = 0 + -1.2
-1.2n + n2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.2n + n2 = -1.2

The n term is -1.2n.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2n + 0.36 + n2 = -1.2 + 0.36

Reorder the terms:
0.36 + -1.2n + n2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + -1.2n + n2 = -0.84

Factor a perfect square on the left side:
(n + -0.6)(n + -0.6) = -0.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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