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Simplifying 3x2 + (2m + 3) * x + -5 = 0 Reorder the terms: 3x2 + (3 + 2m) * x + -5 = 0 Reorder the terms for easier multiplication: 3x2 + x(3 + 2m) + -5 = 0 3x2 + (3 * x + 2m * x) + -5 = 0 Reorder the terms: 3x2 + (2mx + 3x) + -5 = 0 3x2 + (2mx + 3x) + -5 = 0 Reorder the terms: -5 + 2mx + 3x + 3x2 = 0 Solving -5 + 2mx + 3x + 3x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2mx + 3x + 5 + 3x2 = 0 + 5 Reorder the terms: -5 + 5 + 2mx + 3x + 3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2mx + 3x + 3x2 = 0 + 5 2mx + 3x + 3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2mx + 3x + 3x2 = 5 Add '-3x' to each side of the equation. 2mx + 3x + -3x + 3x2 = 5 + -3x Combine like terms: 3x + -3x = 0 2mx + 0 + 3x2 = 5 + -3x 2mx + 3x2 = 5 + -3x Add '-3x2' to each side of the equation. 2mx + 3x2 + -3x2 = 5 + -3x + -3x2 Combine like terms: 3x2 + -3x2 = 0 2mx + 0 = 5 + -3x + -3x2 2mx = 5 + -3x + -3x2 Divide each side by '2x'. m = 2.5x-1 + -1.5 + -1.5x Simplifying m = 2.5x-1 + -1.5 + -1.5x Reorder the terms: m = -1.5 + 2.5x-1 + -1.5x
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