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Simplifying 5p2 = -12p + 108 Reorder the terms: 5p2 = 108 + -12p Solving 5p2 = 108 + -12p Solving for variable 'p'. Reorder the terms: -108 + 12p + 5p2 = 108 + -12p + -108 + 12p Reorder the terms: -108 + 12p + 5p2 = 108 + -108 + -12p + 12p Combine like terms: 108 + -108 = 0 -108 + 12p + 5p2 = 0 + -12p + 12p -108 + 12p + 5p2 = -12p + 12p Combine like terms: -12p + 12p = 0 -108 + 12p + 5p2 = 0 Factor a trinomial. (-6 + -1p)(18 + -5p) = 0Subproblem 1
Set the factor '(-6 + -1p)' equal to zero and attempt to solve: Simplifying -6 + -1p = 0 Solving -6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1p = 0 + 6 -1p = 0 + 6 Combine like terms: 0 + 6 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6Subproblem 2
Set the factor '(18 + -5p)' equal to zero and attempt to solve: Simplifying 18 + -5p = 0 Solving 18 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5p = 0 + -18 -5p = 0 + -18 Combine like terms: 0 + -18 = -18 -5p = -18 Divide each side by '-5'. p = 3.6 Simplifying p = 3.6Solution
p = {-6, 3.6}
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