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Simplifying x2 + 2mx + 2m + 9 = 0 Reorder the terms: 9 + 2m + 2mx + x2 = 0 Solving 9 + 2m + 2mx + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2m + 2mx + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2m + 2mx + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2m + 2mx + x2 = 0 + -9 2m + 2mx + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2m + 2mx + x2 = -9 Add '-1x2' to each side of the equation. 2m + 2mx + x2 + -1x2 = -9 + -1x2 Combine like terms: x2 + -1x2 = 0 2m + 2mx + 0 = -9 + -1x2 2m + 2mx = -9 + -1x2 Reorder the terms: 9 + 2m + 2mx + x2 = -9 + -1x2 + 9 + x2 Reorder the terms: 9 + 2m + 2mx + x2 = -9 + 9 + -1x2 + x2 Combine like terms: -9 + 9 = 0 9 + 2m + 2mx + x2 = 0 + -1x2 + x2 9 + 2m + 2mx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9 + 2m + 2mx + x2 = 0 The solution to this equation could not be determined.
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