4.9x^2-80x+1000=0

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Solution for 4.9x^2-80x+1000=0 equation:


Simplifying
4.9x2 + -80x + 1000 = 0

Reorder the terms:
1000 + -80x + 4.9x2 = 0

Solving
1000 + -80x + 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'.
204.0816327 + -16.32653061x + x2 = 0

Move the constant term to the right:

Add '-204.0816327' to each side of the equation.
204.0816327 + -16.32653061x + -204.0816327 + x2 = 0 + -204.0816327

Reorder the terms:
204.0816327 + -204.0816327 + -16.32653061x + x2 = 0 + -204.0816327

Combine like terms: 204.0816327 + -204.0816327 = 0.0000000
0.0000000 + -16.32653061x + x2 = 0 + -204.0816327
-16.32653061x + x2 = 0 + -204.0816327

Combine like terms: 0 + -204.0816327 = -204.0816327
-16.32653061x + x2 = -204.0816327

The x term is -16.32653061x.  Take half its coefficient (-8.163265305).
Square it (66.63890044) and add it to both sides.

Add '66.63890044' to each side of the equation.
-16.32653061x + 66.63890044 + x2 = -204.0816327 + 66.63890044

Reorder the terms:
66.63890044 + -16.32653061x + x2 = -204.0816327 + 66.63890044

Combine like terms: -204.0816327 + 66.63890044 = -137.44273226
66.63890044 + -16.32653061x + x2 = -137.44273226

Factor a perfect square on the left side:
(x + -8.163265305)(x + -8.163265305) = -137.44273226

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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