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Simplifying 5p2 + -14p + -24 = 0 Reorder the terms: -24 + -14p + 5p2 = 0 Solving -24 + -14p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (-6 + -5p)(4 + -1p) = 0Subproblem 1
Set the factor '(-6 + -5p)' equal to zero and attempt to solve: Simplifying -6 + -5p = 0 Solving -6 + -5p = 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 + -5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = 0 + 6 -5p = 0 + 6 Combine like terms: 0 + 6 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-1.2, 4}
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