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Simplifying 6p2 + -43p + 7 = 0 Reorder the terms: 7 + -43p + 6p2 = 0 Solving 7 + -43p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (1 + -6p)(7 + -1p) = 0Subproblem 1
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 = 0.1666666667Subproblem 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 = {0.1666666667, 7}
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