200x-2x^2=-x^2+75x+4950

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Solution for 200x-2x^2=-x^2+75x+4950 equation: 


Simplifying
200x + -2x2 = -1x2 + 75x + 4950

Reorder the terms:
200x + -2x2 = 4950 + 75x + -1x2

Solving
200x + -2x2 = 4950 + 75x + -1x2

Solving for variable 'x'.

Reorder the terms:
-4950 + 200x + -75x + -2x2 + x2 = 4950 + 75x + -1x2 + -4950 + -75x + x2

Combine like terms: 200x + -75x = 125x
-4950 + 125x + -2x2 + x2 = 4950 + 75x + -1x2 + -4950 + -75x + x2

Combine like terms: -2x2 + x2 = -1x2
-4950 + 125x + -1x2 = 4950 + 75x + -1x2 + -4950 + -75x + x2

Reorder the terms:
-4950 + 125x + -1x2 = 4950 + -4950 + 75x + -75x + -1x2 + x2

Combine like terms: 4950 + -4950 = 0
-4950 + 125x + -1x2 = 0 + 75x + -75x + -1x2 + x2
-4950 + 125x + -1x2 = 75x + -75x + -1x2 + x2

Combine like terms: 75x + -75x = 0
-4950 + 125x + -1x2 = 0 + -1x2 + x2
-4950 + 125x + -1x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4950 + 125x + -1x2 = 0

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

Divide each side by '-1'.
4950 + -125x + x2 = 0

Move the constant term to the right:

Add '-4950' to each side of the equation.
4950 + -125x + -4950 + x2 = 0 + -4950

Reorder the terms:
4950 + -4950 + -125x + x2 = 0 + -4950

Combine like terms: 4950 + -4950 = 0
0 + -125x + x2 = 0 + -4950
-125x + x2 = 0 + -4950

Combine like terms: 0 + -4950 = -4950
-125x + x2 = -4950

The x term is -125x.  Take half its coefficient (-62.5).
Square it (3906.25) and add it to both sides.

Add '3906.25' to each side of the equation.
-125x + 3906.25 + x2 = -4950 + 3906.25

Reorder the terms:
3906.25 + -125x + x2 = -4950 + 3906.25

Combine like terms: -4950 + 3906.25 = -1043.75
3906.25 + -125x + x2 = -1043.75

Factor a perfect square on the left side:
(x + -62.5)(x + -62.5) = -1043.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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