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Simplifying 5p2 + -49p + -10 = 0 Reorder the terms: -10 + -49p + 5p2 = 0 Solving -10 + -49p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -5p)(10 + -1p) = 0Subproblem 1
Set the factor '(-1 + -5p)' equal to zero and attempt to solve: Simplifying -1 + -5p = 0 Solving -1 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5p = 0 + 1 -5p = 0 + 1 Combine like terms: 0 + 1 = 1 -5p = 1 Divide each side by '-5'. p = -0.2 Simplifying p = -0.2Subproblem 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 = {-0.2, 10}
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