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Simplifying x2 + 4mx + -4(m + -2) = 0 Reorder the terms: x2 + 4mx + -4(-2 + m) = 0 x2 + 4mx + (-2 * -4 + m * -4) = 0 x2 + 4mx + (8 + -4m) = 0 Reorder the terms: 8 + -4m + 4mx + x2 = 0 Solving 8 + -4m + 4mx + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4m + 4mx + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -4m + 4mx + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4m + 4mx + x2 = 0 + -8 -4m + 4mx + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4m + 4mx + x2 = -8 Add '-1x2' to each side of the equation. -4m + 4mx + x2 + -1x2 = -8 + -1x2 Combine like terms: x2 + -1x2 = 0 -4m + 4mx + 0 = -8 + -1x2 -4m + 4mx = -8 + -1x2 Reorder the terms: 8 + -4m + 4mx + x2 = -8 + -1x2 + 8 + x2 Reorder the terms: 8 + -4m + 4mx + x2 = -8 + 8 + -1x2 + x2 Combine like terms: -8 + 8 = 0 8 + -4m + 4mx + x2 = 0 + -1x2 + x2 8 + -4m + 4mx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8 + -4m + 4mx + x2 = 0 The solution to this equation could not be determined.
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