-x^2+20x-6000=0

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Solution for -x^2+20x-6000=0 equation:


Simplifying
-1x2 + 20x + -6000 = 0

Reorder the terms:
-6000 + 20x + -1x2 = 0

Solving
-6000 + 20x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6000 + -20x + x2 = 0

Move the constant term to the right:

Add '-6000' to each side of the equation.
6000 + -20x + -6000 + x2 = 0 + -6000

Reorder the terms:
6000 + -6000 + -20x + x2 = 0 + -6000

Combine like terms: 6000 + -6000 = 0
0 + -20x + x2 = 0 + -6000
-20x + x2 = 0 + -6000

Combine like terms: 0 + -6000 = -6000
-20x + x2 = -6000

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -6000 + 100

Reorder the terms:
100 + -20x + x2 = -6000 + 100

Combine like terms: -6000 + 100 = -5900
100 + -20x + x2 = -5900

Factor a perfect square on the left side:
(x + -10)(x + -10) = -5900

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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