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Simplifying 9p3 + 8p3 + -2p2 + -4p3 = 0 Reorder the terms: -2p2 + 9p3 + 8p3 + -4p3 = 0 Combine like terms: 9p3 + 8p3 = 17p3 -2p2 + 17p3 + -4p3 = 0 Combine like terms: 17p3 + -4p3 = 13p3 -2p2 + 13p3 = 0 Solving -2p2 + 13p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2'. p2(-2 + 13p) = 0Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(-2 + 13p)' equal to zero and attempt to solve: Simplifying -2 + 13p = 0 Solving -2 + 13p = 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 + 13p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13p = 0 + 2 13p = 0 + 2 Combine like terms: 0 + 2 = 2 13p = 2 Divide each side by '13'. p = 0.1538461538 Simplifying p = 0.1538461538Solution
p = {0, 0.1538461538}
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