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Simplifying 2p2 + -21p + 46 = -3 Reorder the terms: 46 + -21p + 2p2 = -3 Solving 46 + -21p + 2p2 = -3 Solving for variable 'p'. Reorder the terms: 46 + 3 + -21p + 2p2 = -3 + 3 Combine like terms: 46 + 3 = 49 49 + -21p + 2p2 = -3 + 3 Combine like terms: -3 + 3 = 0 49 + -21p + 2p2 = 0 Factor a trinomial. (7 + -2p)(7 + -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 '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {3.5, 7}
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