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Simplifying 7p2 + 34p + -48 = 0 Reorder the terms: -48 + 34p + 7p2 = 0 Solving -48 + 34p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-6 + -1p)(8 + -7p) = 0Subproblem 1
Set the factor '(-6 + -1p)' equal to zero and attempt to solve: Simplifying -6 + -1p = 0 Solving -6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1p = 0 + 6 -1p = 0 + 6 Combine like terms: 0 + 6 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6Subproblem 2
Set the factor '(8 + -7p)' equal to zero and attempt to solve: Simplifying 8 + -7p = 0 Solving 8 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = 0 + -8 -7p = 0 + -8 Combine like terms: 0 + -8 = -8 -7p = -8 Divide each side by '-7'. p = 1.142857143 Simplifying p = 1.142857143Solution
p = {-6, 1.142857143}
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