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Simplifying (m + -5) * x2 + -1(m + 2) * x + (m + -1) = 0 Reorder the terms: (-5 + m) * x2 + -1(m + 2) * x + (m + -1) = 0 Reorder the terms for easier multiplication: x2(-5 + m) + -1(m + 2) * x + (m + -1) = 0 (-5 * x2 + m * x2) + -1(m + 2) * x + (m + -1) = 0 Reorder the terms: (mx2 + -5x2) + -1(m + 2) * x + (m + -1) = 0 (mx2 + -5x2) + -1(m + 2) * x + (m + -1) = 0 Reorder the terms: mx2 + -5x2 + -1(2 + m) * x + (m + -1) = 0 Reorder the terms for easier multiplication: mx2 + -5x2 + -1x(2 + m) + (m + -1) = 0 mx2 + -5x2 + (2 * -1x + m * -1x) + (m + -1) = 0 Reorder the terms: mx2 + -5x2 + (-1mx + -2x) + (m + -1) = 0 mx2 + -5x2 + (-1mx + -2x) + (m + -1) = 0 Reorder the terms: mx2 + -5x2 + -1mx + -2x + (-1 + m) = 0 Remove parenthesis around (-1 + m) mx2 + -5x2 + -1mx + -2x + -1 + m = 0 Reorder the terms: -1 + m + -1mx + mx2 + -2x + -5x2 = 0 Solving -1 + m + -1mx + mx2 + -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 + m + -1mx + mx2 + -2x + 1 + -5x2 = 0 + 1 Reorder the terms: -1 + 1 + m + -1mx + mx2 + -2x + -5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m + -1mx + mx2 + -2x + -5x2 = 0 + 1 m + -1mx + mx2 + -2x + -5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 m + -1mx + mx2 + -2x + -5x2 = 1 Add '2x' to each side of the equation. m + -1mx + mx2 + -2x + 2x + -5x2 = 1 + 2x Combine like terms: -2x + 2x = 0 m + -1mx + mx2 + 0 + -5x2 = 1 + 2x m + -1mx + mx2 + -5x2 = 1 + 2x Add '5x2' to each side of the equation. m + -1mx + mx2 + -5x2 + 5x2 = 1 + 2x + 5x2 Combine like terms: -5x2 + 5x2 = 0 m + -1mx + mx2 + 0 = 1 + 2x + 5x2 m + -1mx + mx2 = 1 + 2x + 5x2 Reorder the terms: -1 + m + -1mx + mx2 + -2x + -5x2 = 1 + 2x + 5x2 + -1 + -2x + -5x2 Reorder the terms: -1 + m + -1mx + mx2 + -2x + -5x2 = 1 + -1 + 2x + -2x + 5x2 + -5x2 Combine like terms: 1 + -1 = 0 -1 + m + -1mx + mx2 + -2x + -5x2 = 0 + 2x + -2x + 5x2 + -5x2 -1 + m + -1mx + mx2 + -2x + -5x2 = 2x + -2x + 5x2 + -5x2 Combine like terms: 2x + -2x = 0 -1 + m + -1mx + mx2 + -2x + -5x2 = 0 + 5x2 + -5x2 -1 + m + -1mx + mx2 + -2x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1 + m + -1mx + mx2 + -2x + -5x2 = 0 The solution to this equation could not be determined.
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