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Simplifying 6p2 = -17p + -10 Reorder the terms: 6p2 = -10 + -17p Solving 6p2 = -10 + -17p Solving for variable 'p'. Reorder the terms: 10 + 17p + 6p2 = -10 + -17p + 10 + 17p Reorder the terms: 10 + 17p + 6p2 = -10 + 10 + -17p + 17p Combine like terms: -10 + 10 = 0 10 + 17p + 6p2 = 0 + -17p + 17p 10 + 17p + 6p2 = -17p + 17p Combine like terms: -17p + 17p = 0 10 + 17p + 6p2 = 0 Factor a trinomial. (2 + p)(5 + 6p) = 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 '(5 + 6p)' equal to zero and attempt to solve: Simplifying 5 + 6p = 0 Solving 5 + 6p = 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 + 6p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6p = 0 + -5 6p = 0 + -5 Combine like terms: 0 + -5 = -5 6p = -5 Divide each side by '6'. p = -0.8333333333 Simplifying p = -0.8333333333Solution
p = {-2, -0.8333333333}
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