4p^3+36p=0

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Solution for 4p^3+36p=0 equation:


Simplifying
4p3 + 36p = 0

Reorder the terms:
36p + 4p3 = 0

Solving
36p + 4p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4p'.
4p(9 + p2) = 0

Ignore the factor 4.

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 '(9 + p2)' equal to zero and attempt to solve: Simplifying 9 + p2 = 0 Solving 9 + p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + p2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p2 = 0 + -9 p2 = 0 + -9 Combine like terms: 0 + -9 = -9 p2 = -9 Simplifying p2 = -9 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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