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Simplifying (p + -7)(5p + 9) = 0 Reorder the terms: (-7 + p)(5p + 9) = 0 Reorder the terms: (-7 + p)(9 + 5p) = 0 Multiply (-7 + p) * (9 + 5p) (-7(9 + 5p) + p(9 + 5p)) = 0 ((9 * -7 + 5p * -7) + p(9 + 5p)) = 0 ((-63 + -35p) + p(9 + 5p)) = 0 (-63 + -35p + (9 * p + 5p * p)) = 0 (-63 + -35p + (9p + 5p2)) = 0 Combine like terms: -35p + 9p = -26p (-63 + -26p + 5p2) = 0 Solving -63 + -26p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -5p)(7 + -1p) = 0Subproblem 1
Set the factor '(-9 + -5p)' equal to zero and attempt to solve: Simplifying -9 + -5p = 0 Solving -9 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5p = 0 + 9 -5p = 0 + 9 Combine like terms: 0 + 9 = 9 -5p = 9 Divide each side by '-5'. p = -1.8 Simplifying p = -1.8Subproblem 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 = {-1.8, 7}
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