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Simplifying 5p2 = -9p Solving 5p2 = -9p Solving for variable 'p'. Reorder the terms: 9p + 5p2 = -9p + 9p Combine like terms: -9p + 9p = 0 9p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(9 + 5p) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(9 + 5p)' equal to zero and attempt to solve: Simplifying 9 + 5p = 0 Solving 9 + 5p = 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 + 5p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5p = 0 + -9 5p = 0 + -9 Combine like terms: 0 + -9 = -9 5p = -9 Divide each side by '5'. p = -1.8 Simplifying p = -1.8Solution
p = {0, -1.8}
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