50x-49x^2=1000

Solution for 50x-49x^2=1000 equation:

Simplifying
50x + -49x2 = 1000

Solving
50x + -49x2 = 1000

Solving for variable 'x'.

Reorder the terms:
-1000 + 50x + -49x2 = 1000 + -1000

Combine like terms: 1000 + -1000 = 0
-1000 + 50x + -49x2 = 0

Begin completing the square.  Divide all terms by
-49 the coefficient of the squared term: 

Divide each side by '-49'.
20.40816327 + -1.020408163x + x2 = 0

Move the constant term to the right:

Add '-20.40816327' to each side of the equation.
20.40816327 + -1.020408163x + -20.40816327 + x2 = 0 + -20.40816327

Reorder the terms:
20.40816327 + -20.40816327 + -1.020408163x + x2 = 0 + -20.40816327

Combine like terms: 20.40816327 + -20.40816327 = 0.00000000
0.00000000 + -1.020408163x + x2 = 0 + -20.40816327
-1.020408163x + x2 = 0 + -20.40816327

Combine like terms: 0 + -20.40816327 = -20.40816327
-1.020408163x + x2 = -20.40816327

The x term is -1.020408163x.  Take half its coefficient (-0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
-1.020408163x + 0.2603082048 + x2 = -20.40816327 + 0.2603082048

Reorder the terms:
0.2603082048 + -1.020408163x + x2 = -20.40816327 + 0.2603082048

Combine like terms: -20.40816327 + 0.2603082048 = -20.1478550652
0.2603082048 + -1.020408163x + x2 = -20.1478550652

Factor a perfect square on the left side:
(x + -0.5102040815)(x + -0.5102040815) = -20.1478550652

Can't calculate square root of the right side.

The solution to this equation could not be determined.