0=200+.5(x+x^2)

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Solution for 0=200+.5(x+x^2) equation: 


Simplifying
0 = 200 + 0.5(x + x2)
0 = 200 + (x * 0.5 + x2 * 0.5)
0 = 200 + (0.5x + 0.5x2)

Solving
0 = 200 + 0.5x + 0.5x2

Solving for variable 'x'.

Combine like terms: 0 + -200 = -200
-200 + -0.5x + -0.5x2 = 200 + 0.5x + 0.5x2 + -200 + -0.5x + -0.5x2

Reorder the terms:
-200 + -0.5x + -0.5x2 = 200 + -200 + 0.5x + -0.5x + 0.5x2 + -0.5x2

Combine like terms: 200 + -200 = 0
-200 + -0.5x + -0.5x2 = 0 + 0.5x + -0.5x + 0.5x2 + -0.5x2
-200 + -0.5x + -0.5x2 = 0.5x + -0.5x + 0.5x2 + -0.5x2

Combine like terms: 0.5x + -0.5x = 0.0
-200 + -0.5x + -0.5x2 = 0.0 + 0.5x2 + -0.5x2
-200 + -0.5x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-200 + -0.5x + -0.5x2 = 0.0

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
400 + x + x2 = 0

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + x + -400 + x2 = 0 + -400

Reorder the terms:
400 + -400 + x + x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + x + x2 = 0 + -400
x + x2 = 0 + -400

Combine like terms: 0 + -400 = -400
x + x2 = -400

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.
 + 0.25 + x2 = -400 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -400 + 0.25

Combine like terms: -400 + 0.25 = -399.75
1.25 + x2 = -399.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -399.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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