Q=250-.5(200-.5Q)

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Solution for Q=250-.5(200-.5Q) equation:


Simplifying
Q = 250 + -0.5(200 + -0.5Q)
Q = 250 + (200 * -0.5 + -0.5Q * -0.5)
Q = 250 + (-100 + 0.25Q)

Combine like terms: 250 + -100 = 150
Q = 150 + 0.25Q

Solving
Q = 150 + 0.25Q

Solving for variable 'Q'.

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

Add '-0.25Q' to each side of the equation.
Q + -0.25Q = 150 + 0.25Q + -0.25Q

Combine like terms: Q + -0.25Q = 0.75Q
0.75Q = 150 + 0.25Q + -0.25Q

Combine like terms: 0.25Q + -0.25Q = 0.00
0.75Q = 150 + 0.00
0.75Q = 150

Divide each side by '0.75'.
Q = 200

Simplifying
Q = 200

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