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Simplifying 2p2 + -22p + -2 = -6p2 + -7p Reorder the terms: -2 + -22p + 2p2 = -6p2 + -7p Reorder the terms: -2 + -22p + 2p2 = -7p + -6p2 Solving -2 + -22p + 2p2 = -7p + -6p2 Solving for variable 'p'. Reorder the terms: -2 + -22p + 7p + 2p2 + 6p2 = -7p + -6p2 + 7p + 6p2 Combine like terms: -22p + 7p = -15p -2 + -15p + 2p2 + 6p2 = -7p + -6p2 + 7p + 6p2 Combine like terms: 2p2 + 6p2 = 8p2 -2 + -15p + 8p2 = -7p + -6p2 + 7p + 6p2 Reorder the terms: -2 + -15p + 8p2 = -7p + 7p + -6p2 + 6p2 Combine like terms: -7p + 7p = 0 -2 + -15p + 8p2 = 0 + -6p2 + 6p2 -2 + -15p + 8p2 = -6p2 + 6p2 Combine like terms: -6p2 + 6p2 = 0 -2 + -15p + 8p2 = 0 Factor a trinomial. (-1 + -8p)(2 + -1p) = 0Subproblem 1
Set the factor '(-1 + -8p)' equal to zero and attempt to solve: Simplifying -1 + -8p = 0 Solving -1 + -8p = 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 + -8p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8p = 0 + 1 -8p = 0 + 1 Combine like terms: 0 + 1 = 1 -8p = 1 Divide each side by '-8'. p = -0.125 Simplifying p = -0.125Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-0.125, 2}
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