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Simplifying -20p = -21 + -4p2 Solving -20p = -21 + -4p2 Solving for variable 'p'. Reorder the terms: 21 + -20p + 4p2 = -21 + -4p2 + 21 + 4p2 Reorder the terms: 21 + -20p + 4p2 = -21 + 21 + -4p2 + 4p2 Combine like terms: -21 + 21 = 0 21 + -20p + 4p2 = 0 + -4p2 + 4p2 21 + -20p + 4p2 = -4p2 + 4p2 Combine like terms: -4p2 + 4p2 = 0 21 + -20p + 4p2 = 0 Factor a trinomial. (3 + -2p)(7 + -2p) = 0Subproblem 1
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 = 1.5Subproblem 2
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 = 3.5Solution
p = {1.5, 3.5}
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