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