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Simplifying (p + -7)(p + -3) = 0 Reorder the terms: (-7 + p)(p + -3) = 0 Reorder the terms: (-7 + p)(-3 + p) = 0 Multiply (-7 + p) * (-3 + p) (-7(-3 + p) + p(-3 + p)) = 0 ((-3 * -7 + p * -7) + p(-3 + p)) = 0 ((21 + -7p) + p(-3 + p)) = 0 (21 + -7p + (-3 * p + p * p)) = 0 (21 + -7p + (-3p + p2)) = 0 Combine like terms: -7p + -3p = -10p (21 + -10p + p2) = 0 Solving 21 + -10p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + -1p)(7 + -1p) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {3, 7}
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