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Simplifying 9p2 + -3p + -2 = 0 Reorder the terms: -2 + -3p + 9p2 = 0 Solving -2 + -3p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -3p)(2 + -3p) = 0Subproblem 1
Set the factor '(-1 + -3p)' equal to zero and attempt to solve: Simplifying -1 + -3p = 0 Solving -1 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3p = 0 + 1 -3p = 0 + 1 Combine like terms: 0 + 1 = 1 -3p = 1 Divide each side by '-3'. p = -0.3333333333 Simplifying p = -0.3333333333Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {-0.3333333333, 0.6666666667}
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