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Simplifying 3p2 = 5 + -14p Solving 3p2 = 5 + -14p Solving for variable 'p'. Reorder the terms: -5 + 14p + 3p2 = 5 + -14p + -5 + 14p Reorder the terms: -5 + 14p + 3p2 = 5 + -5 + -14p + 14p Combine like terms: 5 + -5 = 0 -5 + 14p + 3p2 = 0 + -14p + 14p -5 + 14p + 3p2 = -14p + 14p Combine like terms: -14p + 14p = 0 -5 + 14p + 3p2 = 0 Factor a trinomial. (-5 + -1p)(1 + -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 '(1 + -3p)' equal to zero and attempt to solve: Simplifying 1 + -3p = 0 Solving 1 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 0 + -1 -3p = 0 + -1 Combine like terms: 0 + -1 = -1 -3p = -1 Divide each side by '-3'. p = 0.3333333333 Simplifying p = 0.3333333333Solution
p = {-5, 0.3333333333}
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