4p^2+16p=0

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Solution for 4p^2+16p=0 equation:


Simplifying
4p2 + 16p = 0

Reorder the terms:
16p + 4p2 = 0

Solving
16p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4p'.
4p(4 + p) = 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 '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4

Solution

p = {0, -4}

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