p^2=-2p

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Solution for p^2=-2p equation:


Simplifying
p2 = -2p

Solving
p2 = -2p

Solving for variable 'p'.

Reorder the terms:
2p + p2 = -2p + 2p

Combine like terms: -2p + 2p = 0
2p + p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(2 + 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 '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2

Solution

p = {0, -2}

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