6x^2+x+100=0

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Solution for 6x^2+x+100=0 equation:


Simplifying
6x2 + x + 100 = 0

Reorder the terms:
100 + x + 6x2 = 0

Solving
100 + x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
16.66666667 + 0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + 0.1666666667x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + 0.1666666667x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + 0.1666666667x + x2 = 0 + -16.66666667
0.1666666667x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
0.1666666667x + x2 = -16.66666667

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.
0.1666666667x + 0.25 + x2 = -16.66666667 + 0.25

Reorder the terms:
0.25 + 0.1666666667x + x2 = -16.66666667 + 0.25

Combine like terms: -16.66666667 + 0.25 = -16.41666667
0.25 + 0.1666666667x + x2 = -16.41666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -16.41666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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