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Simplifying 2p2 + -72 = 7p Reorder the terms: -72 + 2p2 = 7p Solving -72 + 2p2 = 7p Solving for variable 'p'. Reorder the terms: -72 + -7p + 2p2 = 7p + -7p Combine like terms: 7p + -7p = 0 -72 + -7p + 2p2 = 0 Factor a trinomial. (-9 + -2p)(8 + -1p) = 0Subproblem 1
Set the factor '(-9 + -2p)' equal to zero and attempt to solve: Simplifying -9 + -2p = 0 Solving -9 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2p = 0 + 9 -2p = 0 + 9 Combine like terms: 0 + 9 = 9 -2p = 9 Divide each side by '-2'. p = -4.5 Simplifying p = -4.5Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-4.5, 8}
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