0=-350+x-.002x^2

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Solution for 0=-350+x-.002x^2 equation: 


Simplifying
0 = -350 + x + -0.002x2

Solving
0 = -350 + x + -0.002x2

Solving for variable 'x'.

Combine like terms: 0 + 350 = 350
350 + -1x + 0.002x2 = -350 + x + -0.002x2 + 350 + -1x + 0.002x2

Reorder the terms:
350 + -1x + 0.002x2 = -350 + 350 + x + -1x + -0.002x2 + 0.002x2

Combine like terms: -350 + 350 = 0
350 + -1x + 0.002x2 = 0 + x + -1x + -0.002x2 + 0.002x2
350 + -1x + 0.002x2 = x + -1x + -0.002x2 + 0.002x2

Combine like terms: x + -1x = 0
350 + -1x + 0.002x2 = 0 + -0.002x2 + 0.002x2
350 + -1x + 0.002x2 = -0.002x2 + 0.002x2

Combine like terms: -0.002x2 + 0.002x2 = 0.000
350 + -1x + 0.002x2 = 0.000

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

Divide each side by '0.002'.
175000 + -500x + x2 = 0

Move the constant term to the right:

Add '-175000' to each side of the equation.
175000 + -500x + -175000 + x2 = 0 + -175000

Reorder the terms:
175000 + -175000 + -500x + x2 = 0 + -175000

Combine like terms: 175000 + -175000 = 0
0 + -500x + x2 = 0 + -175000
-500x + x2 = 0 + -175000

Combine like terms: 0 + -175000 = -175000
-500x + x2 = -175000

The x term is -500x.  Take half its coefficient (-250).
Square it (62500) and add it to both sides.

Add '62500' to each side of the equation.
-500x + 62500 + x2 = -175000 + 62500

Reorder the terms:
62500 + -500x + x2 = -175000 + 62500

Combine like terms: -175000 + 62500 = -112500
62500 + -500x + x2 = -112500

Factor a perfect square on the left side:
(x + -250)(x + -250) = -112500

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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