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Simplifying 3p2 + -16p + -7 = 5 Reorder the terms: -7 + -16p + 3p2 = 5 Solving -7 + -16p + 3p2 = 5 Solving for variable 'p'. Reorder the terms: -7 + -5 + -16p + 3p2 = 5 + -5 Combine like terms: -7 + -5 = -12 -12 + -16p + 3p2 = 5 + -5 Combine like terms: 5 + -5 = 0 -12 + -16p + 3p2 = 0 Factor a trinomial. (-2 + -3p)(6 + -1p) = 0Subproblem 1
Set the factor '(-2 + -3p)' equal to zero and attempt to solve: Simplifying -2 + -3p = 0 Solving -2 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3p = 0 + 2 -3p = 0 + 2 Combine like terms: 0 + 2 = 2 -3p = 2 Divide each side by '-3'. p = -0.6666666667 Simplifying p = -0.6666666667Subproblem 2
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 = 6Solution
p = {-0.6666666667, 6}
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