Q=200-.05(250-.05Q)

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Solution for Q=200-.05(250-.05Q) equation:


Simplifying
Q = 200 + -0.05(250 + -0.05Q)
Q = 200 + (250 * -0.05 + -0.05Q * -0.05)
Q = 200 + (-12.5 + 0.0025Q)

Combine like terms: 200 + -12.5 = 187.5
Q = 187.5 + 0.0025Q

Solving
Q = 187.5 + 0.0025Q

Solving for variable 'Q'.

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

Add '-0.0025Q' to each side of the equation.
Q + -0.0025Q = 187.5 + 0.0025Q + -0.0025Q

Combine like terms: Q + -0.0025Q = 0.9975Q
0.9975Q = 187.5 + 0.0025Q + -0.0025Q

Combine like terms: 0.0025Q + -0.0025Q = 0.0000
0.9975Q = 187.5 + 0.0000
0.9975Q = 187.5

Divide each side by '0.9975'.
Q = 187.9699248

Simplifying
Q = 187.9699248

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