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Simplifying 3p(8 + 2p) + -1p(2p + -3) = 0 (8 * 3p + 2p * 3p) + -1p(2p + -3) = 0 (24p + 6p2) + -1p(2p + -3) = 0 Reorder the terms: 24p + 6p2 + -1p(-3 + 2p) = 0 24p + 6p2 + (-3 * -1p + 2p * -1p) = 0 24p + 6p2 + (3p + -2p2) = 0 Reorder the terms: 24p + 3p + 6p2 + -2p2 = 0 Combine like terms: 24p + 3p = 27p 27p + 6p2 + -2p2 = 0 Combine like terms: 6p2 + -2p2 = 4p2 27p + 4p2 = 0 Solving 27p + 4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(27 + 4p) = 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 '(27 + 4p)' equal to zero and attempt to solve: Simplifying 27 + 4p = 0 Solving 27 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4p = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4p = 0 + -27 4p = 0 + -27 Combine like terms: 0 + -27 = -27 4p = -27 Divide each side by '4'. p = -6.75 Simplifying p = -6.75Solution
p = {0, -6.75}
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