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Simplifying x2 + -2(5 + m) * x + (8 + m) = 0 Reorder the terms for easier multiplication: x2 + -2x(5 + m) + (8 + m) = 0 x2 + (5 * -2x + m * -2x) + (8 + m) = 0 Reorder the terms: x2 + (-2mx + -10x) + (8 + m) = 0 x2 + (-2mx + -10x) + (8 + m) = 0 Remove parenthesis around (8 + m) x2 + -2mx + -10x + 8 + m = 0 Reorder the terms: 8 + m + -2mx + -10x + x2 = 0 Solving 8 + m + -2mx + -10x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + m + -2mx + -10x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + m + -2mx + -10x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m + -2mx + -10x + x2 = 0 + -8 m + -2mx + -10x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 m + -2mx + -10x + x2 = -8 Add '10x' to each side of the equation. m + -2mx + -10x + 10x + x2 = -8 + 10x Combine like terms: -10x + 10x = 0 m + -2mx + 0 + x2 = -8 + 10x m + -2mx + x2 = -8 + 10x Add '-1x2' to each side of the equation. m + -2mx + x2 + -1x2 = -8 + 10x + -1x2 Combine like terms: x2 + -1x2 = 0 m + -2mx + 0 = -8 + 10x + -1x2 m + -2mx = -8 + 10x + -1x2 Reorder the terms: 8 + m + -2mx + -10x + x2 = -8 + 10x + -1x2 + 8 + -10x + x2 Reorder the terms: 8 + m + -2mx + -10x + x2 = -8 + 8 + 10x + -10x + -1x2 + x2 Combine like terms: -8 + 8 = 0 8 + m + -2mx + -10x + x2 = 0 + 10x + -10x + -1x2 + x2 8 + m + -2mx + -10x + x2 = 10x + -10x + -1x2 + x2 Combine like terms: 10x + -10x = 0 8 + m + -2mx + -10x + x2 = 0 + -1x2 + x2 8 + m + -2mx + -10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8 + m + -2mx + -10x + x2 = 0 The solution to this equation could not be determined.
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