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