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Simplifying p2 = 17p + -70 Reorder the terms: p2 = -70 + 17p Solving p2 = -70 + 17p Solving for variable 'p'. Reorder the terms: 70 + -17p + p2 = -70 + 17p + 70 + -17p Reorder the terms: 70 + -17p + p2 = -70 + 70 + 17p + -17p Combine like terms: -70 + 70 = 0 70 + -17p + p2 = 0 + 17p + -17p 70 + -17p + p2 = 17p + -17p Combine like terms: 17p + -17p = 0 70 + -17p + p2 = 0 Factor a trinomial. (7 + -1p)(10 + -1p) = 0Subproblem 1
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Subproblem 2
Set the factor '(10 + -1p)' equal to zero and attempt to solve: Simplifying 10 + -1p = 0 Solving 10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1p = 0 + -10 -1p = 0 + -10 Combine like terms: 0 + -10 = -10 -1p = -10 Divide each side by '-1'. p = 10 Simplifying p = 10Solution
p = {7, 10}
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