6p^3+30p^2=

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Solution for 6p^3+30p^2= equation:


Simplifying
6p3 + 30p2 = 0

Reorder the terms:
30p2 + 6p3 = 0

Solving
30p2 + 6p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p2'.
6p2(5 + p) = 0

Ignore the factor 6.

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 '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5

Solution

p = {0, -5}

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