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Simplifying x2 + 2mx + 2x + 7m + -3 = 0 Reorder the terms: -3 + 7m + 2mx + 2x + x2 = 0 Solving -3 + 7m + 2mx + 2x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7m + 2mx + 2x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 7m + 2mx + 2x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7m + 2mx + 2x + x2 = 0 + 3 7m + 2mx + 2x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 7m + 2mx + 2x + x2 = 3 Add '-2x' to each side of the equation. 7m + 2mx + 2x + -2x + x2 = 3 + -2x Combine like terms: 2x + -2x = 0 7m + 2mx + 0 + x2 = 3 + -2x 7m + 2mx + x2 = 3 + -2x Add '-1x2' to each side of the equation. 7m + 2mx + x2 + -1x2 = 3 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 7m + 2mx + 0 = 3 + -2x + -1x2 7m + 2mx = 3 + -2x + -1x2 Reorder the terms: -3 + 7m + 2mx + 2x + x2 = 3 + -2x + -1x2 + -3 + 2x + x2 Reorder the terms: -3 + 7m + 2mx + 2x + x2 = 3 + -3 + -2x + 2x + -1x2 + x2 Combine like terms: 3 + -3 = 0 -3 + 7m + 2mx + 2x + x2 = 0 + -2x + 2x + -1x2 + x2 -3 + 7m + 2mx + 2x + x2 = -2x + 2x + -1x2 + x2 Combine like terms: -2x + 2x = 0 -3 + 7m + 2mx + 2x + x2 = 0 + -1x2 + x2 -3 + 7m + 2mx + 2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + 7m + 2mx + 2x + x2 = 0 The solution to this equation could not be determined.
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