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Simplifying 17p2 + -14p + -3 = 0 Reorder the terms: -3 + -14p + 17p2 = 0 Solving -3 + -14p + 17p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -17p)(1 + -1p) = 0Subproblem 1
Set the factor '(-3 + -17p)' equal to zero and attempt to solve: Simplifying -3 + -17p = 0 Solving -3 + -17p = 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 + -17p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -17p = 0 + 3 -17p = 0 + 3 Combine like terms: 0 + 3 = 3 -17p = 3 Divide each side by '-17'. p = -0.1764705882 Simplifying p = -0.1764705882Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-0.1764705882, 1}
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