P(p+y)=x(x+y)

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Solution for P(p+y)=x(x+y) equation:


Simplifying
P(p + y) = x(x + y)
(p * P + y * P) = x(x + y)
(pP + yP) = x(x + y)
pP + yP = (x * x + y * x)

Reorder the terms:
pP + yP = (xy + x2)
pP + yP = (xy + x2)

Solving
pP + yP = xy + x2

Solving for variable 'p'.

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

Add '-1yP' to each side of the equation.
pP + yP + -1yP = xy + x2 + -1yP

Combine like terms: yP + -1yP = 0
pP + 0 = xy + x2 + -1yP
pP = xy + x2 + -1yP

Divide each side by 'P'.
p = xyP-1 + x2P-1 + -1y

Simplifying
p = xyP-1 + x2P-1 + -1y

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