U(x)=-0.1x^2+200x+10000

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Solution for U(x)=-0.1x^2+200x+10000 equation: 


Simplifying
U(x) = -0.1x2 + 200x + 10000

Multiply U * x
xU = -0.1x2 + 200x + 10000

Reorder the terms:
xU = 10000 + 200x + -0.1x2

Solving
xU = 10000 + 200x + -0.1x2

Solving for variable 'x'.

Reorder the terms:
-10000 + -200x + xU + 0.1x2 = 10000 + 200x + -0.1x2 + -10000 + -200x + 0.1x2

Reorder the terms:
-10000 + -200x + xU + 0.1x2 = 10000 + -10000 + 200x + -200x + -0.1x2 + 0.1x2

Combine like terms: 10000 + -10000 = 0
-10000 + -200x + xU + 0.1x2 = 0 + 200x + -200x + -0.1x2 + 0.1x2
-10000 + -200x + xU + 0.1x2 = 200x + -200x + -0.1x2 + 0.1x2

Combine like terms: 200x + -200x = 0
-10000 + -200x + xU + 0.1x2 = 0 + -0.1x2 + 0.1x2
-10000 + -200x + xU + 0.1x2 = -0.1x2 + 0.1x2

Combine like terms: -0.1x2 + 0.1x2 = 0.0
-10000 + -200x + xU + 0.1x2 = 0.0

The solution to this equation could not be determined.

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