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Simplifying 2p2 + -13 = 2 + p Reorder the terms: -13 + 2p2 = 2 + p Solving -13 + 2p2 = 2 + p Solving for variable 'p'. Reorder the terms: -13 + -2 + -1p + 2p2 = 2 + p + -2 + -1p Combine like terms: -13 + -2 = -15 -15 + -1p + 2p2 = 2 + p + -2 + -1p Reorder the terms: -15 + -1p + 2p2 = 2 + -2 + p + -1p Combine like terms: 2 + -2 = 0 -15 + -1p + 2p2 = 0 + p + -1p -15 + -1p + 2p2 = p + -1p Combine like terms: p + -1p = 0 -15 + -1p + 2p2 = 0 Factor a trinomial. (-5 + -2p)(3 + -1p) = 0Subproblem 1
Set the factor '(-5 + -2p)' equal to zero and attempt to solve: Simplifying -5 + -2p = 0 Solving -5 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2p = 0 + 5 -2p = 0 + 5 Combine like terms: 0 + 5 = 5 -2p = 5 Divide each side by '-2'. p = -2.5 Simplifying p = -2.5Subproblem 2
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 = 3Solution
p = {-2.5, 3}
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