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Simplifying 6p2 = 21p + -18 Reorder the terms: 6p2 = -18 + 21p Solving 6p2 = -18 + 21p Solving for variable 'p'. Reorder the terms: 18 + -21p + 6p2 = -18 + 21p + 18 + -21p Reorder the terms: 18 + -21p + 6p2 = -18 + 18 + 21p + -21p Combine like terms: -18 + 18 = 0 18 + -21p + 6p2 = 0 + 21p + -21p 18 + -21p + 6p2 = 21p + -21p Combine like terms: 21p + -21p = 0 18 + -21p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -7p + 2p2) = 0 Factor a trinomial. 3((3 + -2p)(2 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -2p)' equal to zero and attempt to solve: Simplifying 3 + -2p = 0 Solving 3 + -2p = 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 + -2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = 0 + -3 -2p = 0 + -3 Combine like terms: 0 + -3 = -3 -2p = -3 Divide each side by '-2'. p = 1.5 Simplifying p = 1.5Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {1.5, 2}
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