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Simplifying (7p + -5)(9p + 7) = 0 Reorder the terms: (-5 + 7p)(9p + 7) = 0 Reorder the terms: (-5 + 7p)(7 + 9p) = 0 Multiply (-5 + 7p) * (7 + 9p) (-5(7 + 9p) + 7p * (7 + 9p)) = 0 ((7 * -5 + 9p * -5) + 7p * (7 + 9p)) = 0 ((-35 + -45p) + 7p * (7 + 9p)) = 0 (-35 + -45p + (7 * 7p + 9p * 7p)) = 0 (-35 + -45p + (49p + 63p2)) = 0 Combine like terms: -45p + 49p = 4p (-35 + 4p + 63p2) = 0 Solving -35 + 4p + 63p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -9p)(5 + -7p) = 0Subproblem 1
Set the factor '(-7 + -9p)' equal to zero and attempt to solve: Simplifying -7 + -9p = 0 Solving -7 + -9p = 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 + -9p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9p = 0 + 7 -9p = 0 + 7 Combine like terms: 0 + 7 = 7 -9p = 7 Divide each side by '-9'. p = -0.7777777778 Simplifying p = -0.7777777778Subproblem 2
Set the factor '(5 + -7p)' equal to zero and attempt to solve: Simplifying 5 + -7p = 0 Solving 5 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7p = 0 + -5 -7p = 0 + -5 Combine like terms: 0 + -5 = -5 -7p = -5 Divide each side by '-7'. p = 0.7142857143 Simplifying p = 0.7142857143Solution
p = {-0.7777777778, 0.7142857143}
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