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Simplifying (2p + -7)(p + -2) = 0 Reorder the terms: (-7 + 2p)(p + -2) = 0 Reorder the terms: (-7 + 2p)(-2 + p) = 0 Multiply (-7 + 2p) * (-2 + p) (-7(-2 + p) + 2p * (-2 + p)) = 0 ((-2 * -7 + p * -7) + 2p * (-2 + p)) = 0 ((14 + -7p) + 2p * (-2 + p)) = 0 (14 + -7p + (-2 * 2p + p * 2p)) = 0 (14 + -7p + (-4p + 2p2)) = 0 Combine like terms: -7p + -4p = -11p (14 + -11p + 2p2) = 0 Solving 14 + -11p + 2p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + -1p)(7 + -2p) = 0Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Subproblem 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 = {2, 3.5}
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