7n^2-10n+5=0

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Solution for 7n^2-10n+5=0 equation: 


Simplifying
7n2 + -10n + 5 = 0

Reorder the terms:
5 + -10n + 7n2 = 0

Solving
5 + -10n + 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'.
0.7142857143 + -1.428571429n + n2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + -1.428571429n + -0.7142857143 + n2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + -1.428571429n + n2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + -1.428571429n + n2 = 0 + -0.7142857143
-1.428571429n + n2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
-1.428571429n + n2 = -0.7142857143

The n term is -1.428571429n.  Take half its coefficient (-0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
-1.428571429n + 0.5102040819 + n2 = -0.7142857143 + 0.5102040819

Reorder the terms:
0.5102040819 + -1.428571429n + n2 = -0.7142857143 + 0.5102040819

Combine like terms: -0.7142857143 + 0.5102040819 = -0.2040816324
0.5102040819 + -1.428571429n + n2 = -0.2040816324

Factor a perfect square on the left side:
(n + -0.7142857145)(n + -0.7142857145) = -0.2040816324

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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