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Simplifying (6n + -2)(6n + 2) = 0 Reorder the terms: (-2 + 6n)(6n + 2) = 0 Reorder the terms: (-2 + 6n)(2 + 6n) = 0 Multiply (-2 + 6n) * (2 + 6n) (-2(2 + 6n) + 6n * (2 + 6n)) = 0 ((2 * -2 + 6n * -2) + 6n * (2 + 6n)) = 0 ((-4 + -12n) + 6n * (2 + 6n)) = 0 (-4 + -12n + (2 * 6n + 6n * 6n)) = 0 (-4 + -12n + (12n + 36n2)) = 0 Combine like terms: -12n + 12n = 0 (-4 + 0 + 36n2) = 0 (-4 + 36n2) = 0 Solving -4 + 36n2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 36n2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 36n2 = 0 + 4 36n2 = 0 + 4 Combine like terms: 0 + 4 = 4 36n2 = 4 Divide each side by '36'. n2 = 0.1111111111 Simplifying n2 = 0.1111111111 Take the square root of each side: n = {-0.333333333, 0.333333333}
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