20=120+2X-.5x^2

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Solution for 20=120+2X-.5x^2 equation: 


Simplifying
20 = 120 + 2X + -0.5x2

Solving
20 = 120 + 2X + -0.5x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-2X' to each side of the equation.
20 + -2X = 120 + 2X + -2X + -0.5x2

Combine like terms: 2X + -2X = 0
20 + -2X = 120 + 0 + -0.5x2
20 + -2X = 120 + -0.5x2

Add '-20' to each side of the equation.
20 + -20 + -2X = 120 + -20 + -0.5x2

Combine like terms: 20 + -20 = 0
0 + -2X = 120 + -20 + -0.5x2
-2X = 120 + -20 + -0.5x2

Combine like terms: 120 + -20 = 100
-2X = 100 + -0.5x2

Divide each side by '-2'.
X = -50 + 0.25x2

Simplifying
X = -50 + 0.25x2

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