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Simplifying 49p2 + -14p + 1 = 0 Reorder the terms: 1 + -14p + 49p2 = 0 Solving 1 + -14p + 49p2 = 0 Solving for variable 'p'. Factor a trinomial. (1 + -7p)(1 + -7p) = 0Subproblem 1
Set the factor '(1 + -7p)' equal to zero and attempt to solve: Simplifying 1 + -7p = 0 Solving 1 + -7p = 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 + -7p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7p = 0 + -1 -7p = 0 + -1 Combine like terms: 0 + -1 = -1 -7p = -1 Divide each side by '-7'. p = 0.1428571429 Simplifying p = 0.1428571429Subproblem 2
Set the factor '(1 + -7p)' equal to zero and attempt to solve: Simplifying 1 + -7p = 0 Solving 1 + -7p = 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 + -7p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7p = 0 + -1 -7p = 0 + -1 Combine like terms: 0 + -1 = -1 -7p = -1 Divide each side by '-7'. p = 0.1428571429 Simplifying p = 0.1428571429Solution
p = {0.1428571429, 0.1428571429}
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