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Simplifying 3p2 + 9p3 + -8p2 + -2p3 = 0 Reorder the terms: 3p2 + -8p2 + 9p3 + -2p3 = 0 Combine like terms: 3p2 + -8p2 = -5p2 -5p2 + 9p3 + -2p3 = 0 Combine like terms: 9p3 + -2p3 = 7p3 -5p2 + 7p3 = 0 Solving -5p2 + 7p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2'. p2(-5 + 7p) = 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 '(-5 + 7p)' equal to zero and attempt to solve: Simplifying -5 + 7p = 0 Solving -5 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7p = 0 + 5 7p = 0 + 5 Combine like terms: 0 + 5 = 5 7p = 5 Divide each side by '7'. p = 0.7142857143 Simplifying p = 0.7142857143Solution
p = {0, 0.7142857143}
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