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Simplifying x * x + -2x[1 + 3m] + 7[2 + 3m] = 0 Multiply x * x x2 + -2x[1 + 3m] + 7[2 + 3m] = 0 x2 + [1 * -2x + 3m * -2x] + 7[2 + 3m] = 0 Reorder the terms: x2 + [-6mx + -2x] + 7[2 + 3m] = 0 x2 + [-6mx + -2x] + 7[2 + 3m] = 0 x2 + -6mx + -2x + [2 * 7 + 3m * 7] = 0 x2 + -6mx + -2x + [14 + 21m] = 0 Reorder the terms: 14 + 21m + -6mx + -2x + x2 = 0 Solving 14 + 21m + -6mx + -2x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 21m + -6mx + -2x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 21m + -6mx + -2x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 21m + -6mx + -2x + x2 = 0 + -14 21m + -6mx + -2x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 21m + -6mx + -2x + x2 = -14 Add '2x' to each side of the equation. 21m + -6mx + -2x + 2x + x2 = -14 + 2x Combine like terms: -2x + 2x = 0 21m + -6mx + 0 + x2 = -14 + 2x 21m + -6mx + x2 = -14 + 2x Add '-1x2' to each side of the equation. 21m + -6mx + x2 + -1x2 = -14 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 21m + -6mx + 0 = -14 + 2x + -1x2 21m + -6mx = -14 + 2x + -1x2 Reorder the terms: 14 + 21m + -6mx + -2x + x2 = -14 + 2x + -1x2 + 14 + -2x + x2 Reorder the terms: 14 + 21m + -6mx + -2x + x2 = -14 + 14 + 2x + -2x + -1x2 + x2 Combine like terms: -14 + 14 = 0 14 + 21m + -6mx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 14 + 21m + -6mx + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 14 + 21m + -6mx + -2x + x2 = 0 + -1x2 + x2 14 + 21m + -6mx + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 14 + 21m + -6mx + -2x + x2 = 0 The solution to this equation could not be determined.
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