3p(p+5)=0

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Solution for 3p(p+5)=0 equation:


Simplifying
3p(p + 5) = 0

Reorder the terms:
3p(5 + p) = 0
(5 * 3p + p * 3p) = 0
(15p + 3p2) = 0

Solving
15p + 3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(5 + p) = 0

Ignore the factor 3.

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 '(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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