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Simplifying 3p2 = -5p + 8 Reorder the terms: 3p2 = 8 + -5p Solving 3p2 = 8 + -5p Solving for variable 'p'. Reorder the terms: -8 + 5p + 3p2 = 8 + -5p + -8 + 5p Reorder the terms: -8 + 5p + 3p2 = 8 + -8 + -5p + 5p Combine like terms: 8 + -8 = 0 -8 + 5p + 3p2 = 0 + -5p + 5p -8 + 5p + 3p2 = -5p + 5p Combine like terms: -5p + 5p = 0 -8 + 5p + 3p2 = 0 Factor a trinomial. (-8 + -3p)(1 + -1p) = 0Subproblem 1
Set the factor '(-8 + -3p)' equal to zero and attempt to solve: Simplifying -8 + -3p = 0 Solving -8 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = 0 + 8 -3p = 0 + 8 Combine like terms: 0 + 8 = 8 -3p = 8 Divide each side by '-3'. p = -2.666666667 Simplifying p = -2.666666667Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-2.666666667, 1}
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