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Simplifying x2 + 2(2m + -1) * x + 9 = 0 Reorder the terms: x2 + 2(-1 + 2m) * x + 9 = 0 Reorder the terms for easier multiplication: x2 + 2x(-1 + 2m) + 9 = 0 x2 + (-1 * 2x + 2m * 2x) + 9 = 0 Reorder the terms: x2 + (4mx + -2x) + 9 = 0 x2 + (4mx + -2x) + 9 = 0 Reorder the terms: 9 + 4mx + -2x + x2 = 0 Solving 9 + 4mx + -2x + 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 + 4mx + -2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 4mx + -2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4mx + -2x + x2 = 0 + -9 4mx + -2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4mx + -2x + x2 = -9 Add '2x' to each side of the equation. 4mx + -2x + 2x + x2 = -9 + 2x Combine like terms: -2x + 2x = 0 4mx + 0 + x2 = -9 + 2x 4mx + x2 = -9 + 2x Add '-1x2' to each side of the equation. 4mx + x2 + -1x2 = -9 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 4mx + 0 = -9 + 2x + -1x2 4mx = -9 + 2x + -1x2 Divide each side by '4x'. m = -2.25x-1 + 0.5 + -0.25x Simplifying m = -2.25x-1 + 0.5 + -0.25x Reorder the terms: m = 0.5 + -2.25x-1 + -0.25x
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