9p^2=-81p

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Solution for 9p^2=-81p equation:


Simplifying
9p2 = -81p

Solving
9p2 = -81p

Solving for variable 'p'.

Reorder the terms:
81p + 9p2 = -81p + 81p

Combine like terms: -81p + 81p = 0
81p + 9p2 = 0

Factor out the Greatest Common Factor (GCF), '9p'.
9p(9 + p) = 0

Ignore the factor 9.

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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