p^2=-9p

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Solution for p^2=-9p equation:


Simplifying
p2 = -9p

Solving
p2 = -9p

Solving for variable 'p'.

Reorder the terms:
9p + p2 = -9p + 9p

Combine like terms: -9p + 9p = 0
9p + p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(9 + 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 '(9 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9

Solution

p = {0, -9}

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