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Simplifying p2w2 + -2pw + -120 = 0 Reorder the terms: -120 + -2pw + p2w2 = 0 Solving -120 + -2pw + p2w2 = 0 Solving for variable 'p'. Factor a trinomial. (-10 + -1pw)(12 + -1pw) = 0Subproblem 1
Set the factor '(-10 + -1pw)' equal to zero and attempt to solve: Simplifying -10 + -1pw = 0 Solving -10 + -1pw = 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 + -1pw = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1pw = 0 + 10 -1pw = 0 + 10 Combine like terms: 0 + 10 = 10 -1pw = 10 Divide each side by '-1w'. p = -10w-1 Simplifying p = -10w-1Subproblem 2
Set the factor '(12 + -1pw)' equal to zero and attempt to solve: Simplifying 12 + -1pw = 0 Solving 12 + -1pw = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1pw = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1pw = 0 + -12 -1pw = 0 + -12 Combine like terms: 0 + -12 = -12 -1pw = -12 Divide each side by '-1w'. p = 12w-1 Simplifying p = 12w-1Solution
p = {-10w-1, 12w-1}
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