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Simplifying (6p + 7)(5p + 3) = 0 Reorder the terms: (7 + 6p)(5p + 3) = 0 Reorder the terms: (7 + 6p)(3 + 5p) = 0 Multiply (7 + 6p) * (3 + 5p) (7(3 + 5p) + 6p * (3 + 5p)) = 0 ((3 * 7 + 5p * 7) + 6p * (3 + 5p)) = 0 ((21 + 35p) + 6p * (3 + 5p)) = 0 (21 + 35p + (3 * 6p + 5p * 6p)) = 0 (21 + 35p + (18p + 30p2)) = 0 Combine like terms: 35p + 18p = 53p (21 + 53p + 30p2) = 0 Solving 21 + 53p + 30p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + 6p)(3 + 5p) = 0Subproblem 1
Set the factor '(7 + 6p)' equal to zero and attempt to solve: Simplifying 7 + 6p = 0 Solving 7 + 6p = 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 + 6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 0 + -7 6p = 0 + -7 Combine like terms: 0 + -7 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667Subproblem 2
Set the factor '(3 + 5p)' equal to zero and attempt to solve: Simplifying 3 + 5p = 0 Solving 3 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5p = 0 + -3 5p = 0 + -3 Combine like terms: 0 + -3 = -3 5p = -3 Divide each side by '5'. p = -0.6 Simplifying p = -0.6Solution
p = {-1.166666667, -0.6}
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