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Simplifying 56 + 3p + -1p2 = 2p Solving 56 + 3p + -1p2 = 2p Solving for variable 'p'. Reorder the terms: 56 + 3p + -2p + -1p2 = 2p + -2p Combine like terms: 3p + -2p = 1p 56 + 1p + -1p2 = 2p + -2p Combine like terms: 2p + -2p = 0 56 + 1p + -1p2 = 0 Factor a trinomial. (8 + -1p)(7 + p) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Solution
p = {8, -7}
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