(p-4q)*(p+3q)*(p+q)*(p+2q)=

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Solution for (p-4q)*(p+3q)*(p+q)*(p+2q)= equation: 


Simplifying
(p + -4q)(p + 3q)(p + q)(p + 2q) = 0

Multiply (p + -4q) * (p + 3q)
(p(p + 3q) + -4q * (p + 3q))(p + q)(p + 2q) = 0
((p * p + 3q * p) + -4q * (p + 3q))(p + q)(p + 2q) = 0

Reorder the terms:
((3pq + p2) + -4q * (p + 3q))(p + q)(p + 2q) = 0
((3pq + p2) + -4q * (p + 3q))(p + q)(p + 2q) = 0
(3pq + p2 + (p * -4q + 3q * -4q))(p + q)(p + 2q) = 0
(3pq + p2 + (-4pq + -12q2))(p + q)(p + 2q) = 0

Reorder the terms:
(3pq + -4pq + p2 + -12q2)(p + q)(p + 2q) = 0

Combine like terms: 3pq + -4pq = -1pq
(-1pq + p2 + -12q2)(p + q)(p + 2q) = 0

Multiply (-1pq + p2 + -12q2) * (p + q)
(-1pq * (p + q) + p2(p + q) + -12q2 * (p + q))(p + 2q) = 0
((p * -1pq + q * -1pq) + p2(p + q) + -12q2 * (p + q))(p + 2q) = 0

Reorder the terms:
((-1pq2 + -1p2q) + p2(p + q) + -12q2 * (p + q))(p + 2q) = 0
((-1pq2 + -1p2q) + p2(p + q) + -12q2 * (p + q))(p + 2q) = 0
(-1pq2 + -1p2q + (p * p2 + q * p2) + -12q2 * (p + q))(p + 2q) = 0

Reorder the terms:
(-1pq2 + -1p2q + (p2q + p3) + -12q2 * (p + q))(p + 2q) = 0
(-1pq2 + -1p2q + (p2q + p3) + -12q2 * (p + q))(p + 2q) = 0
(-1pq2 + -1p2q + p2q + p3 + (p * -12q2 + q * -12q2))(p + 2q) = 0
(-1pq2 + -1p2q + p2q + p3 + (-12pq2 + -12q3))(p + 2q) = 0

Reorder the terms:
(-1pq2 + -12pq2 + -1p2q + p2q + p3 + -12q3)(p + 2q) = 0

Combine like terms: -1pq2 + -12pq2 = -13pq2
(-13pq2 + -1p2q + p2q + p3 + -12q3)(p + 2q) = 0

Combine like terms: -1p2q + p2q = 0
(-13pq2 + 0 + p3 + -12q3)(p + 2q) = 0
(-13pq2 + p3 + -12q3)(p + 2q) = 0

Multiply (-13pq2 + p3 + -12q3) * (p + 2q)
(-13pq2 * (p + 2q) + p3(p + 2q) + -12q3 * (p + 2q)) = 0
((p * -13pq2 + 2q * -13pq2) + p3(p + 2q) + -12q3 * (p + 2q)) = 0

Reorder the terms:
((-26pq3 + -13p2q2) + p3(p + 2q) + -12q3 * (p + 2q)) = 0
((-26pq3 + -13p2q2) + p3(p + 2q) + -12q3 * (p + 2q)) = 0
(-26pq3 + -13p2q2 + (p * p3 + 2q * p3) + -12q3 * (p + 2q)) = 0

Reorder the terms:
(-26pq3 + -13p2q2 + (2p3q + p4) + -12q3 * (p + 2q)) = 0
(-26pq3 + -13p2q2 + (2p3q + p4) + -12q3 * (p + 2q)) = 0
(-26pq3 + -13p2q2 + 2p3q + p4 + (p * -12q3 + 2q * -12q3)) = 0
(-26pq3 + -13p2q2 + 2p3q + p4 + (-12pq3 + -24q4)) = 0

Reorder the terms:
(-26pq3 + -12pq3 + -13p2q2 + 2p3q + p4 + -24q4) = 0

Combine like terms: -26pq3 + -12pq3 = -38pq3
(-38pq3 + -13p2q2 + 2p3q + p4 + -24q4) = 0

Solving
-38pq3 + -13p2q2 + 2p3q + p4 + -24q4 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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