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Simplifying (25p2 + -60p + 36) = 0 Reorder the terms: (36 + -60p + 25p2) = 0 Remove parenthesis around (36 + -60p + 25p2) 36 + -60p + 25p2 = 0 Solving 36 + -60p + 25p2 = 0 Solving for variable 'p'. Factor a trinomial. (6 + -5p)(6 + -5p) = 0Subproblem 1
Set the factor '(6 + -5p)' equal to zero and attempt to solve: Simplifying 6 + -5p = 0 Solving 6 + -5p = 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 + -5p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5p = 0 + -6 -5p = 0 + -6 Combine like terms: 0 + -6 = -6 -5p = -6 Divide each side by '-5'. p = 1.2 Simplifying p = 1.2Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve: Simplifying 6 + -5p = 0 Solving 6 + -5p = 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 + -5p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5p = 0 + -6 -5p = 0 + -6 Combine like terms: 0 + -6 = -6 -5p = -6 Divide each side by '-5'. p = 1.2 Simplifying p = 1.2Solution
p = {1.2, 1.2}
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