(3P^3-6P^4+7P^2)+(8P^2+7P^4)-(8P^4-7P-8P^3)=0

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Solution for (3P^3-6P^4+7P^2)+(8P^2+7P^4)-(8P^4-7P-8P^3)=0 equation: 


Simplifying
(3P3 + -6P4 + 7P2) + (8P2 + 7P4) + -1(8P4 + -7P + -8P3) = 0

Reorder the terms:
(7P2 + 3P3 + -6P4) + (8P2 + 7P4) + -1(8P4 + -7P + -8P3) = 0

Remove parenthesis around (7P2 + 3P3 + -6P4)
7P2 + 3P3 + -6P4 + (8P2 + 7P4) + -1(8P4 + -7P + -8P3) = 0

Remove parenthesis around (8P2 + 7P4)
7P2 + 3P3 + -6P4 + 8P2 + 7P4 + -1(8P4 + -7P + -8P3) = 0

Reorder the terms:
7P2 + 3P3 + -6P4 + 8P2 + 7P4 + -1(-7P + -8P3 + 8P4) = 0
7P2 + 3P3 + -6P4 + 8P2 + 7P4 + (-7P * -1 + -8P3 * -1 + 8P4 * -1) = 0
7P2 + 3P3 + -6P4 + 8P2 + 7P4 + (7P + 8P3 + -8P4) = 0

Reorder the terms:
7P + 7P2 + 8P2 + 3P3 + 8P3 + -6P4 + 7P4 + -8P4 = 0

Combine like terms: 7P2 + 8P2 = 15P2
7P + 15P2 + 3P3 + 8P3 + -6P4 + 7P4 + -8P4 = 0

Combine like terms: 3P3 + 8P3 = 11P3
7P + 15P2 + 11P3 + -6P4 + 7P4 + -8P4 = 0

Combine like terms: -6P4 + 7P4 = 1P4
7P + 15P2 + 11P3 + 1P4 + -8P4 = 0

Combine like terms: 1P4 + -8P4 = -7P4
7P + 15P2 + 11P3 + -7P4 = 0

Solving
7P + 15P2 + 11P3 + -7P4 = 0

Solving for variable 'P'.

Factor out the Greatest Common Factor (GCF), 'P'.
P(7 + 15P + 11P2 + -7P3) = 0


Subproblem 1
Set the factor 'P' equal to zero and attempt to solve:

Simplifying
P = 0

Solving
P = 0

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

Simplifying
P = 0

Subproblem 2
Set the factor '(7 + 15P + 11P2 + -7P3)' equal to zero and attempt to solve:

Simplifying
7 + 15P + 11P2 + -7P3 = 0

Solving
7 + 15P + 11P2 + -7P3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
P = {0}

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