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Simplifying 6p2 + -28 = 17p Reorder the terms: -28 + 6p2 = 17p Solving -28 + 6p2 = 17p Solving for variable 'p'. Reorder the terms: -28 + -17p + 6p2 = 17p + -17p Combine like terms: 17p + -17p = 0 -28 + -17p + 6p2 = 0 Factor a trinomial. (-7 + -6p)(4 + -1p) = 0Subproblem 1
Set the factor '(-7 + -6p)' equal to zero and attempt to solve: Simplifying -7 + -6p = 0 Solving -7 + -6p = 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 + -6p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6p = 0 + 7 -6p = 0 + 7 Combine like terms: 0 + 7 = 7 -6p = 7 Divide each side by '-6'. p = -1.166666667 Simplifying p = -1.166666667Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-1.166666667, 4}
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