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Simplifying 3p2 + -4p + -30 = 2 Reorder the terms: -30 + -4p + 3p2 = 2 Solving -30 + -4p + 3p2 = 2 Solving for variable 'p'. Reorder the terms: -30 + -2 + -4p + 3p2 = 2 + -2 Combine like terms: -30 + -2 = -32 -32 + -4p + 3p2 = 2 + -2 Combine like terms: 2 + -2 = 0 -32 + -4p + 3p2 = 0 Factor a trinomial. (-8 + -3p)(4 + -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 '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-2.666666667, 4}
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