(-3p^6-7p^5)-(-5p^6-2p^5-p^2)=

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Solution for (-3p^6-7p^5)-(-5p^6-2p^5-p^2)= equation:


Simplifying
(-3p6 + -7p5) + -1(-5p6 + -2p5 + -1p2) = 0

Reorder the terms:
(-7p5 + -3p6) + -1(-5p6 + -2p5 + -1p2) = 0

Remove parenthesis around (-7p5 + -3p6)
-7p5 + -3p6 + -1(-5p6 + -2p5 + -1p2) = 0

Reorder the terms:
-7p5 + -3p6 + -1(-1p2 + -2p5 + -5p6) = 0
-7p5 + -3p6 + (-1p2 * -1 + -2p5 * -1 + -5p6 * -1) = 0
-7p5 + -3p6 + (1p2 + 2p5 + 5p6) = 0

Reorder the terms:
1p2 + -7p5 + 2p5 + -3p6 + 5p6 = 0

Combine like terms: -7p5 + 2p5 = -5p5
1p2 + -5p5 + -3p6 + 5p6 = 0

Combine like terms: -3p6 + 5p6 = 2p6
1p2 + -5p5 + 2p6 = 0

Solving
1p2 + -5p5 + 2p6 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(1 + -5p3 + 2p4) = 0

Subproblem 1

Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}

Subproblem 2

Set the factor '(1 + -5p3 + 2p4)' equal to zero and attempt to solve: Simplifying 1 + -5p3 + 2p4 = 0 Solving 1 + -5p3 + 2p4 = 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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