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Simplifying 7p2 + -79p + 90 = 0 Reorder the terms: 90 + -79p + 7p2 = 0 Solving 90 + -79p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + -7p)(10 + -1p) = 0Subproblem 1
Set the factor '(9 + -7p)' equal to zero and attempt to solve: Simplifying 9 + -7p = 0 Solving 9 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7p = 0 + -9 -7p = 0 + -9 Combine like terms: 0 + -9 = -9 -7p = -9 Divide each side by '-7'. p = 1.285714286 Simplifying p = 1.285714286Subproblem 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 = {1.285714286, 10}
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