4.9x^2+7x+200=0

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Solution for 4.9x^2+7x+200=0 equation:


Simplifying
4.9x2 + 7x + 200 = 0

Reorder the terms:
200 + 7x + 4.9x2 = 0

Solving
200 + 7x + 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'.
40.81632653 + 1.428571429x + x2 = 0

Move the constant term to the right:

Add '-40.81632653' to each side of the equation.
40.81632653 + 1.428571429x + -40.81632653 + x2 = 0 + -40.81632653

Reorder the terms:
40.81632653 + -40.81632653 + 1.428571429x + x2 = 0 + -40.81632653

Combine like terms: 40.81632653 + -40.81632653 = 0.00000000
0.00000000 + 1.428571429x + x2 = 0 + -40.81632653
1.428571429x + x2 = 0 + -40.81632653

Combine like terms: 0 + -40.81632653 = -40.81632653
1.428571429x + x2 = -40.81632653

The x term is 1.428571429x.  Take half its coefficient (0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
1.428571429x + 0.5102040819 + x2 = -40.81632653 + 0.5102040819

Reorder the terms:
0.5102040819 + 1.428571429x + x2 = -40.81632653 + 0.5102040819

Combine like terms: -40.81632653 + 0.5102040819 = -40.3061224481
0.5102040819 + 1.428571429x + x2 = -40.3061224481

Factor a perfect square on the left side:
(x + 0.7142857145)(x + 0.7142857145) = -40.3061224481

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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