7n^2-4n+7=

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Solution for 7n^2-4n+7= equation:


Simplifying
7n2 + -4n + 7 = 0

Reorder the terms:
7 + -4n + 7n2 = 0

Solving
7 + -4n + 7n2 = 0

Solving for variable 'n'.

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

Divide each side by '7'.
1 + -0.5714285714n + n2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5714285714n + -1 + n2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5714285714n + n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5714285714n + n2 = 0 + -1
-0.5714285714n + n2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5714285714n + n2 = -1

The n term is -0.5714285714n.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714n + 0.08163265305 + n2 = -1 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714n + n2 = -1 + 0.08163265305

Combine like terms: -1 + 0.08163265305 = -0.91836734695
0.08163265305 + -0.5714285714n + n2 = -0.91836734695

Factor a perfect square on the left side:
(n + -0.2857142857)(n + -0.2857142857) = -0.91836734695

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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