(P-8)(44-2p+p)=(p-8)(44-p)

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Solution for (P-8)(44-2p+p)=(p-8)(44-p) equation:


Simplifying
(P + -8)(44 + -2p + p) = (p + -8)(44 + -1p)

Reorder the terms:
(-8 + P)(44 + -2p + p) = (p + -8)(44 + -1p)

Combine like terms: -2p + p = -1p
(-8 + P)(44 + -1p) = (p + -8)(44 + -1p)

Multiply (-8 + P) * (44 + -1p)
(-8(44 + -1p) + P(44 + -1p)) = (p + -8)(44 + -1p)
((44 * -8 + -1p * -8) + P(44 + -1p)) = (p + -8)(44 + -1p)
((-352 + 8p) + P(44 + -1p)) = (p + -8)(44 + -1p)
(-352 + 8p + (44 * P + -1p * P)) = (p + -8)(44 + -1p)
(-352 + 8p + (44P + -1pP)) = (p + -8)(44 + -1p)

Reorder the terms:
(-352 + 44P + 8p + -1pP) = (p + -8)(44 + -1p)
(-352 + 44P + 8p + -1pP) = (p + -8)(44 + -1p)

Reorder the terms:
-352 + 44P + 8p + -1pP = (-8 + p)(44 + -1p)

Multiply (-8 + p) * (44 + -1p)
-352 + 44P + 8p + -1pP = (-8(44 + -1p) + p(44 + -1p))
-352 + 44P + 8p + -1pP = ((44 * -8 + -1p * -8) + p(44 + -1p))
-352 + 44P + 8p + -1pP = ((-352 + 8p) + p(44 + -1p))
-352 + 44P + 8p + -1pP = (-352 + 8p + (44 * p + -1p * p))
-352 + 44P + 8p + -1pP = (-352 + 8p + (44p + -1p2))

Combine like terms: 8p + 44p = 52p
-352 + 44P + 8p + -1pP = (-352 + 52p + -1p2)

Add '352' to each side of the equation.
-352 + 44P + 8p + 352 + -1pP = -352 + 52p + 352 + -1p2

Reorder the terms:
-352 + 352 + 44P + 8p + -1pP = -352 + 52p + 352 + -1p2

Combine like terms: -352 + 352 = 0
0 + 44P + 8p + -1pP = -352 + 52p + 352 + -1p2
44P + 8p + -1pP = -352 + 52p + 352 + -1p2

Reorder the terms:
44P + 8p + -1pP = -352 + 352 + 52p + -1p2

Combine like terms: -352 + 352 = 0
44P + 8p + -1pP = 0 + 52p + -1p2
44P + 8p + -1pP = 52p + -1p2

Solving
44P + 8p + -1pP = 52p + -1p2

Solving for variable 'P'.

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

Add '-8p' to each side of the equation.
44P + 8p + -8p + -1pP = 52p + -8p + -1p2

Combine like terms: 8p + -8p = 0
44P + 0 + -1pP = 52p + -8p + -1p2
44P + -1pP = 52p + -8p + -1p2

Combine like terms: 52p + -8p = 44p
44P + -1pP = 44p + -1p2

Reorder the terms:
44P + -44p + -1pP + p2 = 44p + -1p2 + -44p + p2

Reorder the terms:
44P + -44p + -1pP + p2 = 44p + -44p + -1p2 + p2

Combine like terms: 44p + -44p = 0
44P + -44p + -1pP + p2 = 0 + -1p2 + p2
44P + -44p + -1pP + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
44P + -44p + -1pP + p2 = 0

The solution to this equation could not be determined.

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