4.9*x^2+6.84*x+250=0

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Solution for 4.9*x^2+6.84*x+250=0 equation: 


Simplifying
4.9x2 + 6.84x + 250 = 0

Reorder the terms:
250 + 6.84x + 4.9x2 = 0

Solving
250 + 6.84x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
51.02040816 + 1.395918367x + x2 = 0

Move the constant term to the right:

Add '-51.02040816' to each side of the equation.
51.02040816 + 1.395918367x + -51.02040816 + x2 = 0 + -51.02040816

Reorder the terms:
51.02040816 + -51.02040816 + 1.395918367x + x2 = 0 + -51.02040816

Combine like terms: 51.02040816 + -51.02040816 = 0.00000000
0.00000000 + 1.395918367x + x2 = 0 + -51.02040816
1.395918367x + x2 = 0 + -51.02040816

Combine like terms: 0 + -51.02040816 = -51.02040816
1.395918367x + x2 = -51.02040816

The x term is 1.395918367x.  Take half its coefficient (0.6979591835).
Square it (0.4871470218) and add it to both sides.

Add '0.4871470218' to each side of the equation.
1.395918367x + 0.4871470218 + x2 = -51.02040816 + 0.4871470218

Reorder the terms:
0.4871470218 + 1.395918367x + x2 = -51.02040816 + 0.4871470218

Combine like terms: -51.02040816 + 0.4871470218 = -50.5332611382
0.4871470218 + 1.395918367x + x2 = -50.5332611382

Factor a perfect square on the left side:
(x + 0.6979591835)(x + 0.6979591835) = -50.5332611382

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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