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Simplifying x2 + 2nx + 4n + 6x = 0 Reorder the terms: 4n + 2nx + 6x + x2 = 0 Solving 4n + 2nx + 6x + x2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6x' to each side of the equation. 4n + 2nx + 6x + -6x + x2 = 0 + -6x Combine like terms: 6x + -6x = 0 4n + 2nx + 0 + x2 = 0 + -6x 4n + 2nx + x2 = 0 + -6x Remove the zero: 4n + 2nx + x2 = -6x Add '-1x2' to each side of the equation. 4n + 2nx + x2 + -1x2 = -6x + -1x2 Combine like terms: x2 + -1x2 = 0 4n + 2nx + 0 = -6x + -1x2 4n + 2nx = -6x + -1x2 Reorder the terms: 4n + 2nx + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 4n + 2nx + 6x + x2 = 0 + -1x2 + x2 4n + 2nx + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4n + 2nx + 6x + x2 = 0 The solution to this equation could not be determined.
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