p^2+13p=0

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Solution for p^2+13p=0 equation:


Simplifying
p2 + 13p = 0

Reorder the terms:
13p + p2 = 0

Solving
13p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(13 + p) = 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 '(13 + p)' equal to zero and attempt to solve: Simplifying 13 + p = 0 Solving 13 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Simplifying p = -13

Solution

p = {0, -13}

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