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Simplifying 4x2 + -1(3 + 2m) * x + 2 = 0 Reorder the terms for easier multiplication: 4x2 + -1x(3 + 2m) + 2 = 0 4x2 + (3 * -1x + 2m * -1x) + 2 = 0 Reorder the terms: 4x2 + (-2mx + -3x) + 2 = 0 4x2 + (-2mx + -3x) + 2 = 0 Reorder the terms: 2 + -2mx + -3x + 4x2 = 0 Solving 2 + -2mx + -3x + 4x2 = 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 + -2mx + -3x + -2 + 4x2 = 0 + -2 Reorder the terms: 2 + -2 + -2mx + -3x + 4x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2mx + -3x + 4x2 = 0 + -2 -2mx + -3x + 4x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2mx + -3x + 4x2 = -2 Add '3x' to each side of the equation. -2mx + -3x + 3x + 4x2 = -2 + 3x Combine like terms: -3x + 3x = 0 -2mx + 0 + 4x2 = -2 + 3x -2mx + 4x2 = -2 + 3x Add '-4x2' to each side of the equation. -2mx + 4x2 + -4x2 = -2 + 3x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2mx + 0 = -2 + 3x + -4x2 -2mx = -2 + 3x + -4x2 Divide each side by '-2x'. m = x-1 + -1.5 + 2x Simplifying m = x-1 + -1.5 + 2x Reorder the terms: m = -1.5 + x-1 + 2x
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