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Simplifying (5 + -1m) * x2 + -2(m + 1) * x + -1 = 0 Reorder the terms for easier multiplication: x2(5 + -1m) + -2(m + 1) * x + -1 = 0 (5 * x2 + -1m * x2) + -2(m + 1) * x + -1 = 0 Reorder the terms: (-1mx2 + 5x2) + -2(m + 1) * x + -1 = 0 (-1mx2 + 5x2) + -2(m + 1) * x + -1 = 0 Reorder the terms: -1mx2 + 5x2 + -2(1 + m) * x + -1 = 0 Reorder the terms for easier multiplication: -1mx2 + 5x2 + -2x(1 + m) + -1 = 0 -1mx2 + 5x2 + (1 * -2x + m * -2x) + -1 = 0 Reorder the terms: -1mx2 + 5x2 + (-2mx + -2x) + -1 = 0 -1mx2 + 5x2 + (-2mx + -2x) + -1 = 0 Reorder the terms: -1 + -2mx + -1mx2 + -2x + 5x2 = 0 Solving -1 + -2mx + -1mx2 + -2x + 5x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2mx + -1mx2 + -2x + 1 + 5x2 = 0 + 1 Reorder the terms: -1 + 1 + -2mx + -1mx2 + -2x + 5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2mx + -1mx2 + -2x + 5x2 = 0 + 1 -2mx + -1mx2 + -2x + 5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2mx + -1mx2 + -2x + 5x2 = 1 Add '2x' to each side of the equation. -2mx + -1mx2 + -2x + 2x + 5x2 = 1 + 2x Combine like terms: -2x + 2x = 0 -2mx + -1mx2 + 0 + 5x2 = 1 + 2x -2mx + -1mx2 + 5x2 = 1 + 2x Add '-5x2' to each side of the equation. -2mx + -1mx2 + 5x2 + -5x2 = 1 + 2x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -2mx + -1mx2 + 0 = 1 + 2x + -5x2 -2mx + -1mx2 = 1 + 2x + -5x2 Reorder the terms: -1 + -2mx + -1mx2 + -2x + 5x2 = 1 + 2x + -5x2 + -1 + -2x + 5x2 Reorder the terms: -1 + -2mx + -1mx2 + -2x + 5x2 = 1 + -1 + 2x + -2x + -5x2 + 5x2 Combine like terms: 1 + -1 = 0 -1 + -2mx + -1mx2 + -2x + 5x2 = 0 + 2x + -2x + -5x2 + 5x2 -1 + -2mx + -1mx2 + -2x + 5x2 = 2x + -2x + -5x2 + 5x2 Combine like terms: 2x + -2x = 0 -1 + -2mx + -1mx2 + -2x + 5x2 = 0 + -5x2 + 5x2 -1 + -2mx + -1mx2 + -2x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -1 + -2mx + -1mx2 + -2x + 5x2 = 0 The solution to this equation could not be determined.
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