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Simplifying (132 + -3p)(p + -6) = 0 Reorder the terms: (132 + -3p)(-6 + p) = 0 Multiply (132 + -3p) * (-6 + p) (132(-6 + p) + -3p * (-6 + p)) = 0 ((-6 * 132 + p * 132) + -3p * (-6 + p)) = 0 ((-792 + 132p) + -3p * (-6 + p)) = 0 (-792 + 132p + (-6 * -3p + p * -3p)) = 0 (-792 + 132p + (18p + -3p2)) = 0 Combine like terms: 132p + 18p = 150p (-792 + 150p + -3p2) = 0 Solving -792 + 150p + -3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(-264 + 50p + -1p2) = 0 Factor a trinomial. 3((-44 + p)(6 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-44 + p)' equal to zero and attempt to solve: Simplifying -44 + p = 0 Solving -44 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + p = 0 + 44 Combine like terms: -44 + 44 = 0 0 + p = 0 + 44 p = 0 + 44 Combine like terms: 0 + 44 = 44 p = 44 Simplifying p = 44Subproblem 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 = {44, 6}
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