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Simplifying -13p = 15p2 + -6 Reorder the terms: -13p = -6 + 15p2 Solving -13p = -6 + 15p2 Solving for variable 'p'. Reorder the terms: 6 + -13p + -15p2 = -6 + 15p2 + 6 + -15p2 Reorder the terms: 6 + -13p + -15p2 = -6 + 6 + 15p2 + -15p2 Combine like terms: -6 + 6 = 0 6 + -13p + -15p2 = 0 + 15p2 + -15p2 6 + -13p + -15p2 = 15p2 + -15p2 Combine like terms: 15p2 + -15p2 = 0 6 + -13p + -15p2 = 0 Factor a trinomial. (1 + -3p)(6 + 5p) = 0Subproblem 1
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 = 0.3333333333Subproblem 2
Set the factor '(6 + 5p)' equal to zero and attempt to solve: Simplifying 6 + 5p = 0 Solving 6 + 5p = 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 + 5p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5p = 0 + -6 5p = 0 + -6 Combine like terms: 0 + -6 = -6 5p = -6 Divide each side by '5'. p = -1.2 Simplifying p = -1.2Solution
p = {0.3333333333, -1.2}
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