p^3+100p=

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Solution for p^3+100p= equation:


Simplifying
p3 + 100p = 0

Reorder the terms:
100p + p3 = 0

Solving
100p + p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(100 + p2) = 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 '(100 + p2)' equal to zero and attempt to solve: Simplifying 100 + p2 = 0 Solving 100 + p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + p2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + p2 = 0 + -100 p2 = 0 + -100 Combine like terms: 0 + -100 = -100 p2 = -100 Simplifying p2 = -100 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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