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Simplifying 9p2 + -42p + 20 = -29 Reorder the terms: 20 + -42p + 9p2 = -29 Solving 20 + -42p + 9p2 = -29 Solving for variable 'p'. Reorder the terms: 20 + 29 + -42p + 9p2 = -29 + 29 Combine like terms: 20 + 29 = 49 49 + -42p + 9p2 = -29 + 29 Combine like terms: -29 + 29 = 0 49 + -42p + 9p2 = 0 Factor a trinomial. (7 + -3p)(7 + -3p) = 0Subproblem 1
Set the factor '(7 + -3p)' equal to zero and attempt to solve: Simplifying 7 + -3p = 0 Solving 7 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 0 + -7 -3p = 0 + -7 Combine like terms: 0 + -7 = -7 -3p = -7 Divide each side by '-3'. p = 2.333333333 Simplifying p = 2.333333333Subproblem 2
Set the factor '(7 + -3p)' equal to zero and attempt to solve: Simplifying 7 + -3p = 0 Solving 7 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 0 + -7 -3p = 0 + -7 Combine like terms: 0 + -7 = -7 -3p = -7 Divide each side by '-3'. p = 2.333333333 Simplifying p = 2.333333333Solution
p = {2.333333333, 2.333333333}
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