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Simplifying (x + -1)(x + -5) = -8 Reorder the terms: (-1 + x)(x + -5) = -8 Reorder the terms: (-1 + x)(-5 + x) = -8 Multiply (-1 + x) * (-5 + x) (-1(-5 + x) + x(-5 + x)) = -8 ((-5 * -1 + x * -1) + x(-5 + x)) = -8 ((5 + -1x) + x(-5 + x)) = -8 (5 + -1x + (-5 * x + x * x)) = -8 (5 + -1x + (-5x + x2)) = -8 Combine like terms: -1x + -5x = -6x (5 + -6x + x2) = -8 Solving 5 + -6x + x2 = -8 Solving for variable 'x'. Reorder the terms: 5 + 8 + -6x + x2 = -8 + 8 Combine like terms: 5 + 8 = 13 13 + -6x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 13 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -6x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -6x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6x + x2 = 0 + -13 -6x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -6x + x2 = -13 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -13 + 9 Reorder the terms: 9 + -6x + x2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + -6x + x2 = -4 Factor a perfect square on the left side: (x + -3)(x + -3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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