5n^2+3n+35=0

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Solution for 5n^2+3n+35=0 equation:


Simplifying
5n2 + 3n + 35 = 0

Reorder the terms:
35 + 3n + 5n2 = 0

Solving
35 + 3n + 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'.
7 + 0.6n + n2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 0.6n + -7 + n2 = 0 + -7

Reorder the terms:
7 + -7 + 0.6n + n2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 0.6n + n2 = 0 + -7
0.6n + n2 = 0 + -7

Combine like terms: 0 + -7 = -7
0.6n + n2 = -7

The n term is 0.6n.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6n + 0.09 + n2 = -7 + 0.09

Reorder the terms:
0.09 + 0.6n + n2 = -7 + 0.09

Combine like terms: -7 + 0.09 = -6.91
0.09 + 0.6n + n2 = -6.91

Factor a perfect square on the left side:
(n + 0.3)(n + 0.3) = -6.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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