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Simplifying 4x2 + -1(m + 3) * x + -6 = 0 Reorder the terms: 4x2 + -1(3 + m) * x + -6 = 0 Reorder the terms for easier multiplication: 4x2 + -1x(3 + m) + -6 = 0 4x2 + (3 * -1x + m * -1x) + -6 = 0 Reorder the terms: 4x2 + (-1mx + -3x) + -6 = 0 4x2 + (-1mx + -3x) + -6 = 0 Reorder the terms: -6 + -1mx + -3x + 4x2 = 0 Solving -6 + -1mx + -3x + 4x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1mx + -3x + 6 + 4x2 = 0 + 6 Reorder the terms: -6 + 6 + -1mx + -3x + 4x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1mx + -3x + 4x2 = 0 + 6 -1mx + -3x + 4x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -1mx + -3x + 4x2 = 6 Add '3x' to each side of the equation. -1mx + -3x + 3x + 4x2 = 6 + 3x Combine like terms: -3x + 3x = 0 -1mx + 0 + 4x2 = 6 + 3x -1mx + 4x2 = 6 + 3x Add '-4x2' to each side of the equation. -1mx + 4x2 + -4x2 = 6 + 3x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1mx + 0 = 6 + 3x + -4x2 -1mx = 6 + 3x + -4x2 Divide each side by '-1x'. m = -6x-1 + -3 + 4x Simplifying m = -6x-1 + -3 + 4x Reorder the terms: m = -3 + -6x-1 + 4x
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