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Simplifying 3p2 = 5p + 12 Reorder the terms: 3p2 = 12 + 5p Solving 3p2 = 12 + 5p Solving for variable 'p'. Reorder the terms: -12 + -5p + 3p2 = 12 + 5p + -12 + -5p Reorder the terms: -12 + -5p + 3p2 = 12 + -12 + 5p + -5p Combine like terms: 12 + -12 = 0 -12 + -5p + 3p2 = 0 + 5p + -5p -12 + -5p + 3p2 = 5p + -5p Combine like terms: 5p + -5p = 0 -12 + -5p + 3p2 = 0 Factor a trinomial. (-4 + -3p)(3 + -1p) = 0Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, 3}
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