16.1x^2+x+300=0

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Solution for 16.1x^2+x+300=0 equation:


Simplifying
16.1x2 + x + 300 = 0

Reorder the terms:
300 + x + 16.1x2 = 0

Solving
300 + x + 16.1x2 = 0

Solving for variable 'x'.

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

Divide each side by '16.1'.
18.63354037 + 0.06211180124x + x2 = 0

Move the constant term to the right:

Add '-18.63354037' to each side of the equation.
18.63354037 + 0.06211180124x + -18.63354037 + x2 = 0 + -18.63354037

Reorder the terms:
18.63354037 + -18.63354037 + 0.06211180124x + x2 = 0 + -18.63354037

Combine like terms: 18.63354037 + -18.63354037 = 0.00000000
0.00000000 + 0.06211180124x + x2 = 0 + -18.63354037
0.06211180124x + x2 = 0 + -18.63354037

Combine like terms: 0 + -18.63354037 = -18.63354037
0.06211180124x + x2 = -18.63354037

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.06211180124x + 0.25 + x2 = -18.63354037 + 0.25

Reorder the terms:
0.25 + 0.06211180124x + x2 = -18.63354037 + 0.25

Combine like terms: -18.63354037 + 0.25 = -18.38354037
0.25 + 0.06211180124x + x2 = -18.38354037

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -18.38354037

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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