500=100x-.5x^2-40x+500

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Solution for 500=100x-.5x^2-40x+500 equation: 


Simplifying
500 = 100x + -0.5x2 + -40x + 500

Reorder the terms:
500 = 500 + 100x + -40x + -0.5x2

Combine like terms: 100x + -40x = 60x
500 = 500 + 60x + -0.5x2

Add '-500' to each side of the equation.
500 + -500 = 500 + 60x + -500 + -0.5x2

Combine like terms: 500 + -500 = 0
0 = 500 + 60x + -500 + -0.5x2

Reorder the terms:
0 = 500 + -500 + 60x + -0.5x2

Combine like terms: 500 + -500 = 0
0 = 0 + 60x + -0.5x2
0 = 60x + -0.5x2

Solving
0 = 60x + -0.5x2

Solving for variable 'x'.
Remove the zero:
-60x + 0.5x2 = 60x + -0.5x2 + -60x + 0.5x2

Reorder the terms:
-60x + 0.5x2 = 60x + -60x + -0.5x2 + 0.5x2

Combine like terms: 60x + -60x = 0
-60x + 0.5x2 = 0 + -0.5x2 + 0.5x2
-60x + 0.5x2 = -0.5x2 + 0.5x2

Combine like terms: -0.5x2 + 0.5x2 = 0.0
-60x + 0.5x2 = 0.0

The solution to this equation could not be determined.

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