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Simplifying 49n2 + -14n + 1 = 0 Reorder the terms: 1 + -14n + 49n2 = 0 Solving 1 + -14n + 49n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + -7n)(1 + -7n) = 0Subproblem 1
Set the factor '(1 + -7n)' equal to zero and attempt to solve: Simplifying 1 + -7n = 0 Solving 1 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7n = 0 + -1 -7n = 0 + -1 Combine like terms: 0 + -1 = -1 -7n = -1 Divide each side by '-7'. n = 0.1428571429 Simplifying n = 0.1428571429Subproblem 2
Set the factor '(1 + -7n)' equal to zero and attempt to solve: Simplifying 1 + -7n = 0 Solving 1 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7n = 0 + -1 -7n = 0 + -1 Combine like terms: 0 + -1 = -1 -7n = -1 Divide each side by '-7'. n = 0.1428571429 Simplifying n = 0.1428571429Solution
n = {0.1428571429, 0.1428571429}
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