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Simplifying 3p + -5 = 9 + -2p2 Reorder the terms: -5 + 3p = 9 + -2p2 Solving -5 + 3p = 9 + -2p2 Solving for variable 'p'. Reorder the terms: -5 + -9 + 3p + 2p2 = 9 + -2p2 + -9 + 2p2 Combine like terms: -5 + -9 = -14 -14 + 3p + 2p2 = 9 + -2p2 + -9 + 2p2 Reorder the terms: -14 + 3p + 2p2 = 9 + -9 + -2p2 + 2p2 Combine like terms: 9 + -9 = 0 -14 + 3p + 2p2 = 0 + -2p2 + 2p2 -14 + 3p + 2p2 = -2p2 + 2p2 Combine like terms: -2p2 + 2p2 = 0 -14 + 3p + 2p2 = 0 Factor a trinomial. (-7 + -2p)(2 + -1p) = 0Subproblem 1
Set the factor '(-7 + -2p)' equal to zero and attempt to solve: Simplifying -7 + -2p = 0 Solving -7 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2p = 0 + 7 -2p = 0 + 7 Combine like terms: 0 + 7 = 7 -2p = 7 Divide each side by '-2'. p = -3.5 Simplifying p = -3.5Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-3.5, 2}
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