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Simplifying 3p2 + -4p = 15 Reorder the terms: -4p + 3p2 = 15 Solving -4p + 3p2 = 15 Solving for variable 'p'. Reorder the terms: -15 + -4p + 3p2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -4p + 3p2 = 0 Factor a trinomial. (-5 + -3p)(3 + -1p) = 0Subproblem 1
Set the factor '(-5 + -3p)' equal to zero and attempt to solve: Simplifying -5 + -3p = 0 Solving -5 + -3p = 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 + -3p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3p = 0 + 5 -3p = 0 + 5 Combine like terms: 0 + 5 = 5 -3p = 5 Divide each side by '-3'. p = -1.666666667 Simplifying p = -1.666666667Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {-1.666666667, 3}
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