8(p-q)7(q-p)+2(p-q)=0

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Solution for 8(p-q)7(q-p)+2(p-q)=0 equation: 


Simplifying
8(p + -1q) * 7(q + -1p) + 2(p + -1q) = 0

Reorder the terms:
8(p + -1q) * 7(-1p + q) + 2(p + -1q) = 0

Reorder the terms for easier multiplication:
8 * 7(p + -1q)(-1p + q) + 2(p + -1q) = 0

Multiply 8 * 7
56(p + -1q)(-1p + q) + 2(p + -1q) = 0

Multiply (p + -1q) * (-1p + q)
56(p(-1p + q) + -1q * (-1p + q)) + 2(p + -1q) = 0
56((-1p * p + q * p) + -1q * (-1p + q)) + 2(p + -1q) = 0

Reorder the terms:
56((pq + -1p2) + -1q * (-1p + q)) + 2(p + -1q) = 0
56((pq + -1p2) + -1q * (-1p + q)) + 2(p + -1q) = 0
56(pq + -1p2 + (-1p * -1q + q * -1q)) + 2(p + -1q) = 0
56(pq + -1p2 + (1pq + -1q2)) + 2(p + -1q) = 0

Reorder the terms:
56(pq + 1pq + -1p2 + -1q2) + 2(p + -1q) = 0

Combine like terms: pq + 1pq = 2pq
56(2pq + -1p2 + -1q2) + 2(p + -1q) = 0
(2pq * 56 + -1p2 * 56 + -1q2 * 56) + 2(p + -1q) = 0
(112pq + -56p2 + -56q2) + 2(p + -1q) = 0
112pq + -56p2 + -56q2 + (p * 2 + -1q * 2) = 0
112pq + -56p2 + -56q2 + (2p + -2q) = 0

Reorder the terms:
2p + 112pq + -56p2 + -2q + -56q2 = 0

Solving
2p + 112pq + -56p2 + -2q + -56q2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(p + 56pq + -28p2 + -1q + -28q2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(p + 56pq + -28p2 + -1q + -28q2)' equal to zero and attempt to solve:

Simplifying
p + 56pq + -28p2 + -1q + -28q2 = 0

Solving
p + 56pq + -28p2 + -1q + -28q2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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