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Simplifying (4p + -5)(3p + 7) = 0 Reorder the terms: (-5 + 4p)(3p + 7) = 0 Reorder the terms: (-5 + 4p)(7 + 3p) = 0 Multiply (-5 + 4p) * (7 + 3p) (-5(7 + 3p) + 4p * (7 + 3p)) = 0 ((7 * -5 + 3p * -5) + 4p * (7 + 3p)) = 0 ((-35 + -15p) + 4p * (7 + 3p)) = 0 (-35 + -15p + (7 * 4p + 3p * 4p)) = 0 (-35 + -15p + (28p + 12p2)) = 0 Combine like terms: -15p + 28p = 13p (-35 + 13p + 12p2) = 0 Solving -35 + 13p + 12p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -3p)(5 + -4p) = 0Subproblem 1
Set the factor '(-7 + -3p)' equal to zero and attempt to solve: Simplifying -7 + -3p = 0 Solving -7 + -3p = 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 + -3p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3p = 0 + 7 -3p = 0 + 7 Combine like terms: 0 + 7 = 7 -3p = 7 Divide each side by '-3'. p = -2.333333333 Simplifying p = -2.333333333Subproblem 2
Set the factor '(5 + -4p)' equal to zero and attempt to solve: Simplifying 5 + -4p = 0 Solving 5 + -4p = 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 + -4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4p = 0 + -5 -4p = 0 + -5 Combine like terms: 0 + -5 = -5 -4p = -5 Divide each side by '-4'. p = 1.25 Simplifying p = 1.25Solution
p = {-2.333333333, 1.25}
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