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Simplifying x2 + 12nx + 36 = 0 Reorder the terms: 36 + 12nx + x2 = 0 Solving 36 + 12nx + x2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 12nx + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + 12nx + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 12nx + x2 = 0 + -36 12nx + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 12nx + x2 = -36 Add '-1x2' to each side of the equation. 12nx + x2 + -1x2 = -36 + -1x2 Combine like terms: x2 + -1x2 = 0 12nx + 0 = -36 + -1x2 12nx = -36 + -1x2 Divide each side by '12x'. n = -3x-1 + -0.08333333333x Simplifying n = -3x-1 + -0.08333333333x
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