200x-2x^2=x^2+40x+2800

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Solution for 200x-2x^2=x^2+40x+2800 equation: 


Simplifying
200x + -2x2 = x2 + 40x + 2800

Reorder the terms:
200x + -2x2 = 2800 + 40x + x2

Solving
200x + -2x2 = 2800 + 40x + x2

Solving for variable 'x'.

Reorder the terms:
-2800 + 200x + -40x + -2x2 + -1x2 = 2800 + 40x + x2 + -2800 + -40x + -1x2

Combine like terms: 200x + -40x = 160x
-2800 + 160x + -2x2 + -1x2 = 2800 + 40x + x2 + -2800 + -40x + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
-2800 + 160x + -3x2 = 2800 + 40x + x2 + -2800 + -40x + -1x2

Reorder the terms:
-2800 + 160x + -3x2 = 2800 + -2800 + 40x + -40x + x2 + -1x2

Combine like terms: 2800 + -2800 = 0
-2800 + 160x + -3x2 = 0 + 40x + -40x + x2 + -1x2
-2800 + 160x + -3x2 = 40x + -40x + x2 + -1x2

Combine like terms: 40x + -40x = 0
-2800 + 160x + -3x2 = 0 + x2 + -1x2
-2800 + 160x + -3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2800 + 160x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
933.3333333 + -53.33333333x + x2 = 0

Move the constant term to the right:

Add '-933.3333333' to each side of the equation.
933.3333333 + -53.33333333x + -933.3333333 + x2 = 0 + -933.3333333

Reorder the terms:
933.3333333 + -933.3333333 + -53.33333333x + x2 = 0 + -933.3333333

Combine like terms: 933.3333333 + -933.3333333 = 0.0000000
0.0000000 + -53.33333333x + x2 = 0 + -933.3333333
-53.33333333x + x2 = 0 + -933.3333333

Combine like terms: 0 + -933.3333333 = -933.3333333
-53.33333333x + x2 = -933.3333333

The x term is -53.33333333x.  Take half its coefficient (-26.66666667).
Square it (711.1111113) and add it to both sides.

Add '711.1111113' to each side of the equation.
-53.33333333x + 711.1111113 + x2 = -933.3333333 + 711.1111113

Reorder the terms:
711.1111113 + -53.33333333x + x2 = -933.3333333 + 711.1111113

Combine like terms: -933.3333333 + 711.1111113 = -222.222222
711.1111113 + -53.33333333x + x2 = -222.222222

Factor a perfect square on the left side:
(x + -26.66666667)(x + -26.66666667) = -222.222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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