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Simplifying 2p2 + -35 = -5p2 + 44p Reorder the terms: -35 + 2p2 = -5p2 + 44p Reorder the terms: -35 + 2p2 = 44p + -5p2 Solving -35 + 2p2 = 44p + -5p2 Solving for variable 'p'. Reorder the terms: -35 + -44p + 2p2 + 5p2 = 44p + -5p2 + -44p + 5p2 Combine like terms: 2p2 + 5p2 = 7p2 -35 + -44p + 7p2 = 44p + -5p2 + -44p + 5p2 Reorder the terms: -35 + -44p + 7p2 = 44p + -44p + -5p2 + 5p2 Combine like terms: 44p + -44p = 0 -35 + -44p + 7p2 = 0 + -5p2 + 5p2 -35 + -44p + 7p2 = -5p2 + 5p2 Combine like terms: -5p2 + 5p2 = 0 -35 + -44p + 7p2 = 0 Factor a trinomial. (-5 + -7p)(7 + -1p) = 0Subproblem 1
Set the factor '(-5 + -7p)' equal to zero and attempt to solve: Simplifying -5 + -7p = 0 Solving -5 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7p = 0 + 5 -7p = 0 + 5 Combine like terms: 0 + 5 = 5 -7p = 5 Divide each side by '-7'. p = -0.7142857143 Simplifying p = -0.7142857143Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {-0.7142857143, 7}
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