0=x^2-100x+11000

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Solution for 0=x^2-100x+11000 equation: 


Simplifying
0 = x2 + -100x + 11000

Reorder the terms:
0 = 11000 + -100x + x2

Solving
0 = 11000 + -100x + x2

Solving for variable 'x'.

Combine like terms: 0 + -11000 = -11000
-11000 + 100x + -1x2 = 11000 + -100x + x2 + -11000 + 100x + -1x2

Reorder the terms:
-11000 + 100x + -1x2 = 11000 + -11000 + -100x + 100x + x2 + -1x2

Combine like terms: 11000 + -11000 = 0
-11000 + 100x + -1x2 = 0 + -100x + 100x + x2 + -1x2
-11000 + 100x + -1x2 = -100x + 100x + x2 + -1x2

Combine like terms: -100x + 100x = 0
-11000 + 100x + -1x2 = 0 + x2 + -1x2
-11000 + 100x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11000 + 100x + -1x2 = 0

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

Divide each side by '-1'.
11000 + -100x + x2 = 0

Move the constant term to the right:

Add '-11000' to each side of the equation.
11000 + -100x + -11000 + x2 = 0 + -11000

Reorder the terms:
11000 + -11000 + -100x + x2 = 0 + -11000

Combine like terms: 11000 + -11000 = 0
0 + -100x + x2 = 0 + -11000
-100x + x2 = 0 + -11000

Combine like terms: 0 + -11000 = -11000
-100x + x2 = -11000

The x term is -100x.  Take half its coefficient (-50).
Square it (2500) and add it to both sides.

Add '2500' to each side of the equation.
-100x + 2500 + x2 = -11000 + 2500

Reorder the terms:
2500 + -100x + x2 = -11000 + 2500

Combine like terms: -11000 + 2500 = -8500
2500 + -100x + x2 = -8500

Factor a perfect square on the left side:
(x + -50)(x + -50) = -8500

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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