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Simplifying 2p2 = -17p + -21 Reorder the terms: 2p2 = -21 + -17p Solving 2p2 = -21 + -17p Solving for variable 'p'. Reorder the terms: 21 + 17p + 2p2 = -21 + -17p + 21 + 17p Reorder the terms: 21 + 17p + 2p2 = -21 + 21 + -17p + 17p Combine like terms: -21 + 21 = 0 21 + 17p + 2p2 = 0 + -17p + 17p 21 + 17p + 2p2 = -17p + 17p Combine like terms: -17p + 17p = 0 21 + 17p + 2p2 = 0 Factor a trinomial. (7 + p)(3 + 2p) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(3 + 2p)' equal to zero and attempt to solve: Simplifying 3 + 2p = 0 Solving 3 + 2p = 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 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5Solution
p = {-7, -1.5}
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