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Simplifying 6p2 + -40 = -8p Reorder the terms: -40 + 6p2 = -8p Solving -40 + 6p2 = -8p Solving for variable 'p'. Reorder the terms: -40 + 8p + 6p2 = -8p + 8p Combine like terms: -8p + 8p = 0 -40 + 8p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 4p + 3p2) = 0 Factor a trinomial. 2((-10 + -3p)(2 + -1p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -3p)' equal to zero and attempt to solve: Simplifying -10 + -3p = 0 Solving -10 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3p = 0 + 10 -3p = 0 + 10 Combine like terms: 0 + 10 = 10 -3p = 10 Divide each side by '-3'. p = -3.333333333 Simplifying p = -3.333333333Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-3.333333333, 2}
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