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Simplifying 9p2 + 42p + 40 = 0 Reorder the terms: 40 + 42p + 9p2 = 0 Solving 40 + 42p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (10 + 3p)(4 + 3p) = 0Subproblem 1
Set the factor '(10 + 3p)' equal to zero and attempt to solve: Simplifying 10 + 3p = 0 Solving 10 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3p = 0 + -10 3p = 0 + -10 Combine like terms: 0 + -10 = -10 3p = -10 Divide each side by '3'. p = -3.333333333 Simplifying p = -3.333333333Subproblem 2
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 = -1.333333333Solution
p = {-3.333333333, -1.333333333}
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