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Simplifying 3p2 + -4p + -95 = 0 Reorder the terms: -95 + -4p + 3p2 = 0 Solving -95 + -4p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -1p)(19 + -3p) = 0Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 2
Set the factor '(19 + -3p)' equal to zero and attempt to solve: Simplifying 19 + -3p = 0 Solving 19 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3p = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3p = 0 + -19 -3p = 0 + -19 Combine like terms: 0 + -19 = -19 -3p = -19 Divide each side by '-3'. p = 6.333333333 Simplifying p = 6.333333333Solution
p = {-5, 6.333333333}
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