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Simplifying 3p2 + -40p + 100 = 0 Reorder the terms: 100 + -40p + 3p2 = 0 Solving 100 + -40p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (10 + -3p)(10 + -1p) = 0Subproblem 1
Set the factor '(10 + -3p)' equal to zero and attempt to solve: Simplifying 10 + -3p = 0 Solving 10 + -3p = 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 + -3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = 0 + -10 -3p = 0 + -10 Combine like terms: 0 + -10 = -10 -3p = -10 Divide each side by '-3'. p = 3.333333333 Simplifying p = 3.333333333Subproblem 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 = {3.333333333, 10}
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