(4p^6-p^4-5p)-(7p^4-7p)=

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Solution for (4p^6-p^4-5p)-(7p^4-7p)= equation:


Simplifying
(4p6 + -1p4 + -5p) + -1(7p4 + -7p) = 0

Reorder the terms:
(-5p + -1p4 + 4p6) + -1(7p4 + -7p) = 0

Remove parenthesis around (-5p + -1p4 + 4p6)
-5p + -1p4 + 4p6 + -1(7p4 + -7p) = 0

Reorder the terms:
-5p + -1p4 + 4p6 + -1(-7p + 7p4) = 0
-5p + -1p4 + 4p6 + (-7p * -1 + 7p4 * -1) = 0
-5p + -1p4 + 4p6 + (7p + -7p4) = 0

Reorder the terms:
-5p + 7p + -1p4 + -7p4 + 4p6 = 0

Combine like terms: -5p + 7p = 2p
2p + -1p4 + -7p4 + 4p6 = 0

Combine like terms: -1p4 + -7p4 = -8p4
2p + -8p4 + 4p6 = 0

Solving
2p + -8p4 + 4p6 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(1 + -4p3 + 2p5) = 0

Ignore the factor 2.

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 '(1 + -4p3 + 2p5)' equal to zero and attempt to solve: Simplifying 1 + -4p3 + 2p5 = 0 Solving 1 + -4p3 + 2p5 = 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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