P=50+0.25(50+0.25P)

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Solution for P=50+0.25(50+0.25P) equation: 


Simplifying
P = 50 + 0.25(50 + 0.25P)
P = 50 + (50 * 0.25 + 0.25P * 0.25)
P = 50 + (12.5 + 0.0625P)

Combine like terms: 50 + 12.5 = 62.5
P = 62.5 + 0.0625P

Solving
P = 62.5 + 0.0625P

Solving for variable 'P'.

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

Add '-0.0625P' to each side of the equation.
P + -0.0625P = 62.5 + 0.0625P + -0.0625P

Combine like terms: P + -0.0625P = 0.9375P
0.9375P = 62.5 + 0.0625P + -0.0625P

Combine like terms: 0.0625P + -0.0625P = 0.0000
0.9375P = 62.5 + 0.0000
0.9375P = 62.5

Divide each side by '0.9375'.
P = 66.66666667

Simplifying
P = 66.66666667

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