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Simplifying (7p + -9)(9p + 5) = 0 Reorder the terms: (-9 + 7p)(9p + 5) = 0 Reorder the terms: (-9 + 7p)(5 + 9p) = 0 Multiply (-9 + 7p) * (5 + 9p) (-9(5 + 9p) + 7p * (5 + 9p)) = 0 ((5 * -9 + 9p * -9) + 7p * (5 + 9p)) = 0 ((-45 + -81p) + 7p * (5 + 9p)) = 0 (-45 + -81p + (5 * 7p + 9p * 7p)) = 0 (-45 + -81p + (35p + 63p2)) = 0 Combine like terms: -81p + 35p = -46p (-45 + -46p + 63p2) = 0 Solving -45 + -46p + 63p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -9p)(9 + -7p) = 0Subproblem 1
Set the factor '(-5 + -9p)' equal to zero and attempt to solve: Simplifying -5 + -9p = 0 Solving -5 + -9p = 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 + -9p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9p = 0 + 5 -9p = 0 + 5 Combine like terms: 0 + 5 = 5 -9p = 5 Divide each side by '-9'. p = -0.5555555556 Simplifying p = -0.5555555556Subproblem 2
Set the factor '(9 + -7p)' equal to zero and attempt to solve: Simplifying 9 + -7p = 0 Solving 9 + -7p = 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 + -7p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7p = 0 + -9 -7p = 0 + -9 Combine like terms: 0 + -9 = -9 -7p = -9 Divide each side by '-7'. p = 1.285714286 Simplifying p = 1.285714286Solution
p = {-0.5555555556, 1.285714286}
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