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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 = 4p (-21 + 4p + p2) = 0 Solving -21 + 4p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -1p)(3 + -1p) = 0Subproblem 1
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 = -7Subproblem 2
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 = 3Solution
p = {-7, 3}
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