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Simplifying (7n + -2)(7n + -2) = 0 Reorder the terms: (-2 + 7n)(7n + -2) = 0 Reorder the terms: (-2 + 7n)(-2 + 7n) = 0 Multiply (-2 + 7n) * (-2 + 7n) (-2(-2 + 7n) + 7n * (-2 + 7n)) = 0 ((-2 * -2 + 7n * -2) + 7n * (-2 + 7n)) = 0 ((4 + -14n) + 7n * (-2 + 7n)) = 0 (4 + -14n + (-2 * 7n + 7n * 7n)) = 0 (4 + -14n + (-14n + 49n2)) = 0 Combine like terms: -14n + -14n = -28n (4 + -28n + 49n2) = 0 Solving 4 + -28n + 49n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -7n)(2 + -7n) = 0Subproblem 1
Set the factor '(2 + -7n)' equal to zero and attempt to solve: Simplifying 2 + -7n = 0 Solving 2 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7n = 0 + -2 -7n = 0 + -2 Combine like terms: 0 + -2 = -2 -7n = -2 Divide each side by '-7'. n = 0.2857142857 Simplifying n = 0.2857142857Subproblem 2
Set the factor '(2 + -7n)' equal to zero and attempt to solve: Simplifying 2 + -7n = 0 Solving 2 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7n = 0 + -2 -7n = 0 + -2 Combine like terms: 0 + -2 = -2 -7n = -2 Divide each side by '-7'. n = 0.2857142857 Simplifying n = 0.2857142857Solution
n = {0.2857142857, 0.2857142857}
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