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Simplifying x2 + -1(5 + m) * x + 4 = 0 Reorder the terms for easier multiplication: x2 + -1x(5 + m) + 4 = 0 x2 + (5 * -1x + m * -1x) + 4 = 0 Reorder the terms: x2 + (-1mx + -5x) + 4 = 0 x2 + (-1mx + -5x) + 4 = 0 Reorder the terms: 4 + -1mx + -5x + x2 = 0 Solving 4 + -1mx + -5x + x2 = 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 + -5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1mx + -5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1mx + -5x + x2 = 0 + -4 -1mx + -5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1mx + -5x + x2 = -4 Add '5x' to each side of the equation. -1mx + -5x + 5x + x2 = -4 + 5x Combine like terms: -5x + 5x = 0 -1mx + 0 + x2 = -4 + 5x -1mx + x2 = -4 + 5x Add '-1x2' to each side of the equation. -1mx + x2 + -1x2 = -4 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -1mx + 0 = -4 + 5x + -1x2 -1mx = -4 + 5x + -1x2 Divide each side by '-1x'. m = 4x-1 + -5 + x Simplifying m = 4x-1 + -5 + x Reorder the terms: m = -5 + 4x-1 + x
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