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Simplifying 5p2 = -14p + -8 Reorder the terms: 5p2 = -8 + -14p Solving 5p2 = -8 + -14p Solving for variable 'p'. Reorder the terms: 8 + 14p + 5p2 = -8 + -14p + 8 + 14p Reorder the terms: 8 + 14p + 5p2 = -8 + 8 + -14p + 14p Combine like terms: -8 + 8 = 0 8 + 14p + 5p2 = 0 + -14p + 14p 8 + 14p + 5p2 = -14p + 14p Combine like terms: -14p + 14p = 0 8 + 14p + 5p2 = 0 Factor a trinomial. (2 + p)(4 + 5p) = 0Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
Set the factor '(4 + 5p)' equal to zero and attempt to solve: Simplifying 4 + 5p = 0 Solving 4 + 5p = 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 + 5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5p = 0 + -4 5p = 0 + -4 Combine like terms: 0 + -4 = -4 5p = -4 Divide each side by '5'. p = -0.8 Simplifying p = -0.8Solution
p = {-2, -0.8}
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