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