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Simplifying 6p2 + 8p + -110 = 0 Reorder the terms: -110 + 8p + 6p2 = 0 Solving -110 + 8p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-55 + 4p + 3p2) = 0 Factor a trinomial. 2((-5 + -1p)(11 + -3p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 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 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 2
Set the factor '(11 + -3p)' equal to zero and attempt to solve: Simplifying 11 + -3p = 0 Solving 11 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3p = 0 + -11 -3p = 0 + -11 Combine like terms: 0 + -11 = -11 -3p = -11 Divide each side by '-3'. p = 3.666666667 Simplifying p = 3.666666667Solution
p = {-5, 3.666666667}
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