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Simplifying 5p2 + -42p + -80 = 0 Reorder the terms: -80 + -42p + 5p2 = 0 Solving -80 + -42p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -5p)(10 + -1p) = 0Subproblem 1
Set the factor '(-8 + -5p)' equal to zero and attempt to solve: Simplifying -8 + -5p = 0 Solving -8 + -5p = 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 + -5p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5p = 0 + 8 -5p = 0 + 8 Combine like terms: 0 + 8 = 8 -5p = 8 Divide each side by '-5'. p = -1.6 Simplifying p = -1.6Subproblem 2
Set the factor '(10 + -1p)' equal to zero and attempt to solve: Simplifying 10 + -1p = 0 Solving 10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1p = 0 + -10 -1p = 0 + -10 Combine like terms: 0 + -10 = -10 -1p = -10 Divide each side by '-1'. p = 10 Simplifying p = 10Solution
p = {-1.6, 10}
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