2(p+1)(1-q)+2(q-p)=(1-q)(p+2)

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Solution for 2(p+1)(1-q)+2(q-p)=(1-q)(p+2) equation:


Simplifying
2(p + 1)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2)

Reorder the terms:
2(1 + p)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2)

Multiply (1 + p) * (1 + -1q)
2(1(1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2)
2((1 * 1 + -1q * 1) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2)
2((1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2)
2(1 + -1q + (1 * p + -1q * p)) + 2(q + -1p) = (1 + -1q)(p + 2)
2(1 + -1q + (1p + -1pq)) + 2(q + -1p) = (1 + -1q)(p + 2)

Reorder the terms:
2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2)
2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2)
(1 * 2 + 1p * 2 + -1pq * 2 + -1q * 2) + 2(q + -1p) = (1 + -1q)(p + 2)
(2 + 2p + -2pq + -2q) + 2(q + -1p) = (1 + -1q)(p + 2)

Reorder the terms:
2 + 2p + -2pq + -2q + 2(-1p + q) = (1 + -1q)(p + 2)
2 + 2p + -2pq + -2q + (-1p * 2 + q * 2) = (1 + -1q)(p + 2)
2 + 2p + -2pq + -2q + (-2p + 2q) = (1 + -1q)(p + 2)

Reorder the terms:
2 + 2p + -2p + -2pq + -2q + 2q = (1 + -1q)(p + 2)

Combine like terms: 2p + -2p = 0
2 + 0 + -2pq + -2q + 2q = (1 + -1q)(p + 2)
2 + -2pq + -2q + 2q = (1 + -1q)(p + 2)

Combine like terms: -2q + 2q = 0
2 + -2pq + 0 = (1 + -1q)(p + 2)
2 + -2pq = (1 + -1q)(p + 2)

Reorder the terms:
2 + -2pq = (1 + -1q)(2 + p)

Multiply (1 + -1q) * (2 + p)
2 + -2pq = (1(2 + p) + -1q * (2 + p))
2 + -2pq = ((2 * 1 + p * 1) + -1q * (2 + p))
2 + -2pq = ((2 + 1p) + -1q * (2 + p))
2 + -2pq = (2 + 1p + (2 * -1q + p * -1q))

Reorder the terms:
2 + -2pq = (2 + 1p + (-1pq + -2q))
2 + -2pq = (2 + 1p + (-1pq + -2q))
2 + -2pq = (2 + 1p + -1pq + -2q)

Add '-2' to each side of the equation.
2 + -2 + -2pq = 2 + 1p + -1pq + -2 + -2q

Combine like terms: 2 + -2 = 0
0 + -2pq = 2 + 1p + -1pq + -2 + -2q
-2pq = 2 + 1p + -1pq + -2 + -2q

Reorder the terms:
-2pq = 2 + -2 + 1p + -1pq + -2q

Combine like terms: 2 + -2 = 0
-2pq = 0 + 1p + -1pq + -2q
-2pq = 1p + -1pq + -2q

Solving
-2pq = 1p + -1pq + -2q

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-1p + -2pq = 1p + -1pq + -1p + -2q

Reorder the terms:
-1p + -2pq = 1p + -1p + -1pq + -2q

Combine like terms: 1p + -1p = 0
-1p + -2pq = 0 + -1pq + -2q
-1p + -2pq = -1pq + -2q

Add 'pq' to each side of the equation.
-1p + -2pq + pq = -1pq + pq + -2q

Combine like terms: -2pq + pq = -1pq
-1p + -1pq = -1pq + pq + -2q

Combine like terms: -1pq + pq = 0
-1p + -1pq = 0 + -2q
-1p + -1pq = -2q

Combine like terms: -2q + 2q = 0
-1p + -1pq + 2q = 0

The solution to this equation could not be determined.

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