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Simplifying 4p2 = -17p + -4 Reorder the terms: 4p2 = -4 + -17p Solving 4p2 = -4 + -17p Solving for variable 'p'. Reorder the terms: 4 + 17p + 4p2 = -4 + -17p + 4 + 17p Reorder the terms: 4 + 17p + 4p2 = -4 + 4 + -17p + 17p Combine like terms: -4 + 4 = 0 4 + 17p + 4p2 = 0 + -17p + 17p 4 + 17p + 4p2 = -17p + 17p Combine like terms: -17p + 17p = 0 4 + 17p + 4p2 = 0 Factor a trinomial. (4 + p)(1 + 4p) = 0Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Subproblem 2
Set the factor '(1 + 4p)' equal to zero and attempt to solve: Simplifying 1 + 4p = 0 Solving 1 + 4p = 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 + 4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 0 + -1 4p = 0 + -1 Combine like terms: 0 + -1 = -1 4p = -1 Divide each side by '4'. p = -0.25 Simplifying p = -0.25Solution
p = {-4, -0.25}
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