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Simplifying p2 + -48p + 576 = 0 Reorder the terms: 576 + -48p + p2 = 0 Solving 576 + -48p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (24 + -1p)(24 + -1p) = 0Subproblem 1
Set the factor '(24 + -1p)' equal to zero and attempt to solve: Simplifying 24 + -1p = 0 Solving 24 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = 0 + -24 -1p = 0 + -24 Combine like terms: 0 + -24 = -24 -1p = -24 Divide each side by '-1'. p = 24 Simplifying p = 24Subproblem 2
Set the factor '(24 + -1p)' equal to zero and attempt to solve: Simplifying 24 + -1p = 0 Solving 24 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = 0 + -24 -1p = 0 + -24 Combine like terms: 0 + -24 = -24 -1p = -24 Divide each side by '-1'. p = 24 Simplifying p = 24Solution
p = {24, 24}
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