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Simplifying 56p2 + -121p + 63 = 0 Reorder the terms: 63 + -121p + 56p2 = 0 Solving 63 + -121p + 56p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + -8p)(9 + -7p) = 0Subproblem 1
Set the factor '(7 + -8p)' equal to zero and attempt to solve: Simplifying 7 + -8p = 0 Solving 7 + -8p = 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 + -8p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = 0 + -7 -8p = 0 + -7 Combine like terms: 0 + -7 = -7 -8p = -7 Divide each side by '-8'. p = 0.875 Simplifying p = 0.875Subproblem 2
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 = 1.285714286Solution
p = {0.875, 1.285714286}
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