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Simplifying 2x2 + 3mx + 10 = 0 Reorder the terms: 10 + 3mx + 2x2 = 0 Solving 10 + 3mx + 2x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3mx + -10 + 2x2 = 0 + -10 Reorder the terms: 10 + -10 + 3mx + 2x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3mx + 2x2 = 0 + -10 3mx + 2x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3mx + 2x2 = -10 Add '-2x2' to each side of the equation. 3mx + 2x2 + -2x2 = -10 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3mx + 0 = -10 + -2x2 3mx = -10 + -2x2 Divide each side by '3x'. m = -3.333333333x-1 + -0.6666666667x Simplifying m = -3.333333333x-1 + -0.6666666667x
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