x^2+x+200=1

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Solution for x^2+x+200=1 equation: 


Simplifying
x2 + x + 200 = 1

Reorder the terms:
200 + x + x2 = 1

Solving
200 + x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
200 + -1 + x + x2 = 1 + -1

Combine like terms: 200 + -1 = 199
199 + x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
199 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-199' to each side of the equation.
199 + x + -199 + x2 = 0 + -199

Reorder the terms:
199 + -199 + x + x2 = 0 + -199

Combine like terms: 199 + -199 = 0
0 + x + x2 = 0 + -199
x + x2 = 0 + -199

Combine like terms: 0 + -199 = -199
x + x2 = -199

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -199 + 0.25

Reorder the terms:
0.25 + x + x2 = -199 + 0.25

Combine like terms: -199 + 0.25 = -198.75
0.25 + x + x2 = -198.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -198.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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