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