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Simplifying 3p2 = -13p + -12 Reorder the terms: 3p2 = -12 + -13p Solving 3p2 = -12 + -13p Solving for variable 'p'. Reorder the terms: 12 + 13p + 3p2 = -12 + -13p + 12 + 13p Reorder the terms: 12 + 13p + 3p2 = -12 + 12 + -13p + 13p Combine like terms: -12 + 12 = 0 12 + 13p + 3p2 = 0 + -13p + 13p 12 + 13p + 3p2 = -13p + 13p Combine like terms: -13p + 13p = 0 12 + 13p + 3p2 = 0 Factor a trinomial. (3 + p)(4 + 3p) = 0Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 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 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 2
Set the factor '(4 + 3p)' equal to zero and attempt to solve: Simplifying 4 + 3p = 0 Solving 4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 0 + -4 3p = 0 + -4 Combine like terms: 0 + -4 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333Solution
p = {-3, -1.333333333}
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