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Simplifying 60p2 = 16 + -28p Solving 60p2 = 16 + -28p Solving for variable 'p'. Reorder the terms: -16 + 28p + 60p2 = 16 + -28p + -16 + 28p Reorder the terms: -16 + 28p + 60p2 = 16 + -16 + -28p + 28p Combine like terms: 16 + -16 = 0 -16 + 28p + 60p2 = 0 + -28p + 28p -16 + 28p + 60p2 = -28p + 28p Combine like terms: -28p + 28p = 0 -16 + 28p + 60p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + 7p + 15p2) = 0 Factor a trinomial. 4((-4 + -5p)(1 + -3p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -5p)' equal to zero and attempt to solve: Simplifying -4 + -5p = 0 Solving -4 + -5p = 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 + -5p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5p = 0 + 4 -5p = 0 + 4 Combine like terms: 0 + 4 = 4 -5p = 4 Divide each side by '-5'. p = -0.8 Simplifying p = -0.8Subproblem 2
Set the factor '(1 + -3p)' equal to zero and attempt to solve: Simplifying 1 + -3p = 0 Solving 1 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 0 + -1 -3p = 0 + -1 Combine like terms: 0 + -1 = -1 -3p = -1 Divide each side by '-3'. p = 0.3333333333 Simplifying p = 0.3333333333Solution
p = {-0.8, 0.3333333333}
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