100-4Q=130+10Q+0.5q^2

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Solution for 100-4Q=130+10Q+0.5q^2 equation: 


Simplifying
100 + -4Q = 130 + 10Q + 0.5q2

Solving
100 + -4Q = 130 + 10Q + 0.5q2

Solving for variable 'Q'.

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

Add '-10Q' to each side of the equation.
100 + -4Q + -10Q = 130 + 10Q + -10Q + 0.5q2

Combine like terms: -4Q + -10Q = -14Q
100 + -14Q = 130 + 10Q + -10Q + 0.5q2

Combine like terms: 10Q + -10Q = 0
100 + -14Q = 130 + 0 + 0.5q2
100 + -14Q = 130 + 0.5q2

Add '-100' to each side of the equation.
100 + -100 + -14Q = 130 + -100 + 0.5q2

Combine like terms: 100 + -100 = 0
0 + -14Q = 130 + -100 + 0.5q2
-14Q = 130 + -100 + 0.5q2

Combine like terms: 130 + -100 = 30
-14Q = 30 + 0.5q2

Divide each side by '-14'.
Q = -2.142857143 + -0.03571428571q2

Simplifying
Q = -2.142857143 + -0.03571428571q2

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