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Simplifying (5p + 3)(p + 8) = 0 Reorder the terms: (3 + 5p)(p + 8) = 0 Reorder the terms: (3 + 5p)(8 + p) = 0 Multiply (3 + 5p) * (8 + p) (3(8 + p) + 5p * (8 + p)) = 0 ((8 * 3 + p * 3) + 5p * (8 + p)) = 0 ((24 + 3p) + 5p * (8 + p)) = 0 (24 + 3p + (8 * 5p + p * 5p)) = 0 (24 + 3p + (40p + 5p2)) = 0 Combine like terms: 3p + 40p = 43p (24 + 43p + 5p2) = 0 Solving 24 + 43p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + p)(3 + 5p) = 0Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 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 = {-8, -0.6}
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