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Simplifying (x2 + -1) + -5(x + -1) + 6 = 0 Reorder the terms: (-1 + x2) + -5(x + -1) + 6 = 0 Remove parenthesis around (-1 + x2) -1 + x2 + -5(x + -1) + 6 = 0 Reorder the terms: -1 + x2 + -5(-1 + x) + 6 = 0 -1 + x2 + (-1 * -5 + x * -5) + 6 = 0 -1 + x2 + (5 + -5x) + 6 = 0 Reorder the terms: -1 + 5 + 6 + -5x + x2 = 0 Combine like terms: -1 + 5 = 4 4 + 6 + -5x + x2 = 0 Combine like terms: 4 + 6 = 10 10 + -5x + x2 = 0 Solving 10 + -5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x + x2 = 0 + -10 -5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5x + x2 = -10 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -10 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + -5x + x2 = -3.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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