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Simplifying 2p2 + -9p = 45 Reorder the terms: -9p + 2p2 = 45 Solving -9p + 2p2 = 45 Solving for variable 'p'. Reorder the terms: -45 + -9p + 2p2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + -9p + 2p2 = 0 Factor a trinomial. (-3 + -1p)(15 + -2p) = 0Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3Subproblem 2
Set the factor '(15 + -2p)' equal to zero and attempt to solve: Simplifying 15 + -2p = 0 Solving 15 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2p = 0 + -15 -2p = 0 + -15 Combine like terms: 0 + -15 = -15 -2p = -15 Divide each side by '-2'. p = 7.5 Simplifying p = 7.5Solution
p = {-3, 7.5}
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