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Simplifying (7n + -6)(7n + -6) = 0 Reorder the terms: (-6 + 7n)(7n + -6) = 0 Reorder the terms: (-6 + 7n)(-6 + 7n) = 0 Multiply (-6 + 7n) * (-6 + 7n) (-6(-6 + 7n) + 7n * (-6 + 7n)) = 0 ((-6 * -6 + 7n * -6) + 7n * (-6 + 7n)) = 0 ((36 + -42n) + 7n * (-6 + 7n)) = 0 (36 + -42n + (-6 * 7n + 7n * 7n)) = 0 (36 + -42n + (-42n + 49n2)) = 0 Combine like terms: -42n + -42n = -84n (36 + -84n + 49n2) = 0 Solving 36 + -84n + 49n2 = 0 Solving for variable 'n'. Factor a trinomial. (6 + -7n)(6 + -7n) = 0Subproblem 1
Set the factor '(6 + -7n)' equal to zero and attempt to solve: Simplifying 6 + -7n = 0 Solving 6 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7n = 0 + -6 -7n = 0 + -6 Combine like terms: 0 + -6 = -6 -7n = -6 Divide each side by '-7'. n = 0.8571428571 Simplifying n = 0.8571428571Subproblem 2
Set the factor '(6 + -7n)' equal to zero and attempt to solve: Simplifying 6 + -7n = 0 Solving 6 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7n = 0 + -6 -7n = 0 + -6 Combine like terms: 0 + -6 = -6 -7n = -6 Divide each side by '-7'. n = 0.8571428571 Simplifying n = 0.8571428571Solution
n = {0.8571428571, 0.8571428571}
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