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Simplifying 2x(mx + 3) = 0 Reorder the terms: 2x(3 + mx) = 0 (3 * 2x + mx * 2x) = 0 Reorder the terms: (2mx2 + 6x) = 0 (2mx2 + 6x) = 0 Solving 2mx2 + 6x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6x' to each side of the equation. 2mx2 + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 2mx2 + 0 = 0 + -6x 2mx2 = 0 + -6x Remove the zero: 2mx2 = -6x Divide each side by '2x2'. m = -3x-1 Simplifying m = -3x-1
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