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Simplifying (9p + 7)(7p + -11) = 0 Reorder the terms: (7 + 9p)(7p + -11) = 0 Reorder the terms: (7 + 9p)(-11 + 7p) = 0 Multiply (7 + 9p) * (-11 + 7p) (7(-11 + 7p) + 9p * (-11 + 7p)) = 0 ((-11 * 7 + 7p * 7) + 9p * (-11 + 7p)) = 0 ((-77 + 49p) + 9p * (-11 + 7p)) = 0 (-77 + 49p + (-11 * 9p + 7p * 9p)) = 0 (-77 + 49p + (-99p + 63p2)) = 0 Combine like terms: 49p + -99p = -50p (-77 + -50p + 63p2) = 0 Solving -77 + -50p + 63p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -9p)(11 + -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 '(11 + -7p)' equal to zero and attempt to solve: Simplifying 11 + -7p = 0 Solving 11 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7p = 0 + -11 -7p = 0 + -11 Combine like terms: 0 + -11 = -11 -7p = -11 Divide each side by '-7'. p = 1.571428571 Simplifying p = 1.571428571Solution
p = {-0.7777777778, 1.571428571}
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