4n-35n^2-7=0

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Solution for 4n-35n^2-7=0 equation:


Simplifying
4n + -35n2 + -7 = 0

Reorder the terms:
-7 + 4n + -35n2 = 0

Solving
-7 + 4n + -35n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
-35 the coefficient of the squared term: 

Divide each side by '-35'.
0.2 + -0.1142857143n + n2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.1142857143n + -0.2 + n2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.1142857143n + n2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.1142857143n + n2 = 0 + -0.2
-0.1142857143n + n2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.1142857143n + n2 = -0.2

The n term is -0.1142857143n.  Take half its coefficient (-0.05714285715).
Square it (0.003265306123) and add it to both sides.

Add '0.003265306123' to each side of the equation.
-0.1142857143n + 0.003265306123 + n2 = -0.2 + 0.003265306123

Reorder the terms:
0.003265306123 + -0.1142857143n + n2 = -0.2 + 0.003265306123

Combine like terms: -0.2 + 0.003265306123 = -0.196734693877
0.003265306123 + -0.1142857143n + n2 = -0.196734693877

Factor a perfect square on the left side:
(n + -0.05714285715)(n + -0.05714285715) = -0.196734693877

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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