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Simplifying 6p2 + -1p + -35 = 0 Reorder the terms: -35 + -1p + 6p2 = 0 Solving -35 + -1p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -3p)(5 + -2p) = 0Subproblem 1
Set the factor '(-7 + -3p)' equal to zero and attempt to solve: Simplifying -7 + -3p = 0 Solving -7 + -3p = 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 + -3p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3p = 0 + 7 -3p = 0 + 7 Combine like terms: 0 + 7 = 7 -3p = 7 Divide each side by '-3'. p = -2.333333333 Simplifying p = -2.333333333Subproblem 2
Set the factor '(5 + -2p)' equal to zero and attempt to solve: Simplifying 5 + -2p = 0 Solving 5 + -2p = 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 + -2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 0 + -5 -2p = 0 + -5 Combine like terms: 0 + -5 = -5 -2p = -5 Divide each side by '-2'. p = 2.5 Simplifying p = 2.5Solution
p = {-2.333333333, 2.5}
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