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Simplifying 60p2 = 56 + -44p Solving 60p2 = 56 + -44p Solving for variable 'p'. Reorder the terms: -56 + 44p + 60p2 = 56 + -44p + -56 + 44p Reorder the terms: -56 + 44p + 60p2 = 56 + -56 + -44p + 44p Combine like terms: 56 + -56 = 0 -56 + 44p + 60p2 = 0 + -44p + 44p -56 + 44p + 60p2 = -44p + 44p Combine like terms: -44p + 44p = 0 -56 + 44p + 60p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + 11p + 15p2) = 0 Factor a trinomial. 4((-7 + -5p)(2 + -3p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -5p)' equal to zero and attempt to solve: Simplifying -7 + -5p = 0 Solving -7 + -5p = 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 + -5p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5p = 0 + 7 -5p = 0 + 7 Combine like terms: 0 + 7 = 7 -5p = 7 Divide each side by '-5'. p = -1.4 Simplifying p = -1.4Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {-1.4, 0.6666666667}
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