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Simplifying (3p + 4)(2p + -9) = 0 Reorder the terms: (4 + 3p)(2p + -9) = 0 Reorder the terms: (4 + 3p)(-9 + 2p) = 0 Multiply (4 + 3p) * (-9 + 2p) (4(-9 + 2p) + 3p * (-9 + 2p)) = 0 ((-9 * 4 + 2p * 4) + 3p * (-9 + 2p)) = 0 ((-36 + 8p) + 3p * (-9 + 2p)) = 0 (-36 + 8p + (-9 * 3p + 2p * 3p)) = 0 (-36 + 8p + (-27p + 6p2)) = 0 Combine like terms: 8p + -27p = -19p (-36 + -19p + 6p2) = 0 Solving -36 + -19p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -3p)(9 + -2p) = 0Subproblem 1
Set the factor '(-4 + -3p)' equal to zero and attempt to solve: Simplifying -4 + -3p = 0 Solving -4 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3p = 0 + 4 -3p = 0 + 4 Combine like terms: 0 + 4 = 4 -3p = 4 Divide each side by '-3'. p = -1.333333333 Simplifying p = -1.333333333Subproblem 2
Set the factor '(9 + -2p)' equal to zero and attempt to solve: Simplifying 9 + -2p = 0 Solving 9 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 0 + -9 -2p = 0 + -9 Combine like terms: 0 + -9 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5Solution
p = {-1.333333333, 4.5}
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