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Simplifying 17p + 3 + -6p2 = 0 Reorder the terms: 3 + 17p + -6p2 = 0 Solving 3 + 17p + -6p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + -1p)(1 + 6p) = 0Subproblem 1
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 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 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Subproblem 2
Set the factor '(1 + 6p)' equal to zero and attempt to solve: Simplifying 1 + 6p = 0 Solving 1 + 6p = 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 + 6p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 0 + -1 6p = 0 + -1 Combine like terms: 0 + -1 = -1 6p = -1 Divide each side by '6'. p = -0.1666666667 Simplifying p = -0.1666666667Solution
p = {3, -0.1666666667}
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