(p+q)(4p^2-p-8q^2-q)=0

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Solution for (p+q)(4p^2-p-8q^2-q)=0 equation: 


Simplifying
(p + q)(4p2 + -1p + -8q2 + -1q) = 0

Reorder the terms:
(p + q)(-1p + 4p2 + -1q + -8q2) = 0

Multiply (p + q) * (-1p + 4p2 + -1q + -8q2)
(p(-1p + 4p2 + -1q + -8q2) + q(-1p + 4p2 + -1q + -8q2)) = 0
((-1p * p + 4p2 * p + -1q * p + -8q2 * p) + q(-1p + 4p2 + -1q + -8q2)) = 0

Reorder the terms:
((-1pq + -8pq2 + -1p2 + 4p3) + q(-1p + 4p2 + -1q + -8q2)) = 0
((-1pq + -8pq2 + -1p2 + 4p3) + q(-1p + 4p2 + -1q + -8q2)) = 0
(-1pq + -8pq2 + -1p2 + 4p3 + (-1p * q + 4p2 * q + -1q * q + -8q2 * q)) = 0
(-1pq + -8pq2 + -1p2 + 4p3 + (-1pq + 4p2q + -1q2 + -8q3)) = 0

Reorder the terms:
(-1pq + -1pq + -8pq2 + -1p2 + 4p2q + 4p3 + -1q2 + -8q3) = 0

Combine like terms: -1pq + -1pq = -2pq
(-2pq + -8pq2 + -1p2 + 4p2q + 4p3 + -1q2 + -8q3) = 0

Solving
-2pq + -8pq2 + -1p2 + 4p2q + 4p3 + -1q2 + -8q3 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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