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Simplifying (8p + 3)(p + -6) = 0 Reorder the terms: (3 + 8p)(p + -6) = 0 Reorder the terms: (3 + 8p)(-6 + p) = 0 Multiply (3 + 8p) * (-6 + p) (3(-6 + p) + 8p * (-6 + p)) = 0 ((-6 * 3 + p * 3) + 8p * (-6 + p)) = 0 ((-18 + 3p) + 8p * (-6 + p)) = 0 (-18 + 3p + (-6 * 8p + p * 8p)) = 0 (-18 + 3p + (-48p + 8p2)) = 0 Combine like terms: 3p + -48p = -45p (-18 + -45p + 8p2) = 0 Solving -18 + -45p + 8p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -8p)(6 + -1p) = 0Subproblem 1
Set the factor '(-3 + -8p)' equal to zero and attempt to solve: Simplifying -3 + -8p = 0 Solving -3 + -8p = 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 + -8p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8p = 0 + 3 -8p = 0 + 3 Combine like terms: 0 + 3 = 3 -8p = 3 Divide each side by '-8'. p = -0.375 Simplifying p = -0.375Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {-0.375, 6}
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