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Simplifying 7p2 = 17p + -6 Reorder the terms: 7p2 = -6 + 17p Solving 7p2 = -6 + 17p Solving for variable 'p'. Reorder the terms: 6 + -17p + 7p2 = -6 + 17p + 6 + -17p Reorder the terms: 6 + -17p + 7p2 = -6 + 6 + 17p + -17p Combine like terms: -6 + 6 = 0 6 + -17p + 7p2 = 0 + 17p + -17p 6 + -17p + 7p2 = 17p + -17p Combine like terms: 17p + -17p = 0 6 + -17p + 7p2 = 0 Factor a trinomial. (3 + -7p)(2 + -1p) = 0Subproblem 1
Set the factor '(3 + -7p)' equal to zero and attempt to solve: Simplifying 3 + -7p = 0 Solving 3 + -7p = 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 + -7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7p = 0 + -3 -7p = 0 + -3 Combine like terms: 0 + -3 = -3 -7p = -3 Divide each side by '-7'. p = 0.4285714286 Simplifying p = 0.4285714286Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {0.4285714286, 2}
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