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Simplifying (6p + 5)(7p + 3) = 0 Reorder the terms: (5 + 6p)(7p + 3) = 0 Reorder the terms: (5 + 6p)(3 + 7p) = 0 Multiply (5 + 6p) * (3 + 7p) (5(3 + 7p) + 6p * (3 + 7p)) = 0 ((3 * 5 + 7p * 5) + 6p * (3 + 7p)) = 0 ((15 + 35p) + 6p * (3 + 7p)) = 0 (15 + 35p + (3 * 6p + 7p * 6p)) = 0 (15 + 35p + (18p + 42p2)) = 0 Combine like terms: 35p + 18p = 53p (15 + 53p + 42p2) = 0 Solving 15 + 53p + 42p2 = 0 Solving for variable 'p'. Factor a trinomial. (5 + 6p)(3 + 7p) = 0Subproblem 1
Set the factor '(5 + 6p)' equal to zero and attempt to solve: Simplifying 5 + 6p = 0 Solving 5 + 6p = 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 + 6p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6p = 0 + -5 6p = 0 + -5 Combine like terms: 0 + -5 = -5 6p = -5 Divide each side by '6'. p = -0.8333333333 Simplifying p = -0.8333333333Subproblem 2
Set the factor '(3 + 7p)' equal to zero and attempt to solve: Simplifying 3 + 7p = 0 Solving 3 + 7p = 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 + 7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7p = 0 + -3 7p = 0 + -3 Combine like terms: 0 + -3 = -3 7p = -3 Divide each side by '7'. p = -0.4285714286 Simplifying p = -0.4285714286Solution
p = {-0.8333333333, -0.4285714286}
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