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Simplifying x2 + (m + -2) * x + (2m + -7) = 0 Reorder the terms: x2 + (-2 + m) * x + (2m + -7) = 0 Reorder the terms for easier multiplication: x2 + x(-2 + m) + (2m + -7) = 0 x2 + (-2 * x + m * x) + (2m + -7) = 0 Reorder the terms: x2 + (mx + -2x) + (2m + -7) = 0 x2 + (mx + -2x) + (2m + -7) = 0 Reorder the terms: x2 + mx + -2x + (-7 + 2m) = 0 Remove parenthesis around (-7 + 2m) x2 + mx + -2x + -7 + 2m = 0 Reorder the terms: -7 + 2m + mx + -2x + x2 = 0 Solving -7 + 2m + mx + -2x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2m + mx + -2x + 7 + x2 = 0 + 7 Reorder the terms: -7 + 7 + 2m + mx + -2x + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2m + mx + -2x + x2 = 0 + 7 2m + mx + -2x + x2 = 0 + 7 Combine like terms: 0 + 7 = 7 2m + mx + -2x + x2 = 7 Add '2x' to each side of the equation. 2m + mx + -2x + 2x + x2 = 7 + 2x Combine like terms: -2x + 2x = 0 2m + mx + 0 + x2 = 7 + 2x 2m + mx + x2 = 7 + 2x Add '-1x2' to each side of the equation. 2m + mx + x2 + -1x2 = 7 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 2m + mx + 0 = 7 + 2x + -1x2 2m + mx = 7 + 2x + -1x2 Reorder the terms: -7 + 2m + mx + -2x + x2 = 7 + 2x + -1x2 + -7 + -2x + x2 Reorder the terms: -7 + 2m + mx + -2x + x2 = 7 + -7 + 2x + -2x + -1x2 + x2 Combine like terms: 7 + -7 = 0 -7 + 2m + mx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 -7 + 2m + mx + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -7 + 2m + mx + -2x + x2 = 0 + -1x2 + x2 -7 + 2m + mx + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -7 + 2m + mx + -2x + x2 = 0 The solution to this equation could not be determined.
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