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Simplifying 17p + -79 = -4p2 + -2 Reorder the terms: -79 + 17p = -4p2 + -2 Reorder the terms: -79 + 17p = -2 + -4p2 Solving -79 + 17p = -2 + -4p2 Solving for variable 'p'. Reorder the terms: -79 + 2 + 17p + 4p2 = -2 + -4p2 + 2 + 4p2 Combine like terms: -79 + 2 = -77 -77 + 17p + 4p2 = -2 + -4p2 + 2 + 4p2 Reorder the terms: -77 + 17p + 4p2 = -2 + 2 + -4p2 + 4p2 Combine like terms: -2 + 2 = 0 -77 + 17p + 4p2 = 0 + -4p2 + 4p2 -77 + 17p + 4p2 = -4p2 + 4p2 Combine like terms: -4p2 + 4p2 = 0 -77 + 17p + 4p2 = 0 Factor a trinomial. (-7 + -1p)(11 + -4p) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(11 + -4p)' equal to zero and attempt to solve: Simplifying 11 + -4p = 0 Solving 11 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4p = 0 + -11 -4p = 0 + -11 Combine like terms: 0 + -11 = -11 -4p = -11 Divide each side by '-4'. p = 2.75 Simplifying p = 2.75Solution
p = {-7, 2.75}
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