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Simplifying 7p2 = 51p + -14 Reorder the terms: 7p2 = -14 + 51p Solving 7p2 = -14 + 51p Solving for variable 'p'. Reorder the terms: 14 + -51p + 7p2 = -14 + 51p + 14 + -51p Reorder the terms: 14 + -51p + 7p2 = -14 + 14 + 51p + -51p Combine like terms: -14 + 14 = 0 14 + -51p + 7p2 = 0 + 51p + -51p 14 + -51p + 7p2 = 51p + -51p Combine like terms: 51p + -51p = 0 14 + -51p + 7p2 = 0 Factor a trinomial. (2 + -7p)(7 + -1p) = 0Subproblem 1
Set the factor '(2 + -7p)' equal to zero and attempt to solve: Simplifying 2 + -7p = 0 Solving 2 + -7p = 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 + -7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = 0 + -2 -7p = 0 + -2 Combine like terms: 0 + -2 = -2 -7p = -2 Divide each side by '-7'. p = 0.2857142857 Simplifying p = 0.2857142857Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {0.2857142857, 7}
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