5n^2+2n+7=

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Solution for 5n^2+2n+7= equation:


Simplifying
5n2 + 2n + 7 = 0

Reorder the terms:
7 + 2n + 5n2 = 0

Solving
7 + 2n + 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'.
1.4 + 0.4n + n2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + 0.4n + -1.4 + n2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + 0.4n + n2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.4n + n2 = 0 + -1.4
0.4n + n2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
0.4n + n2 = -1.4

The n term is 0.4n.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4n + 0.04 + n2 = -1.4 + 0.04

Reorder the terms:
0.04 + 0.4n + n2 = -1.4 + 0.04

Combine like terms: -1.4 + 0.04 = -1.36
0.04 + 0.4n + n2 = -1.36

Factor a perfect square on the left side:
(n + 0.2)(n + 0.2) = -1.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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