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Simplifying (x + -3)(x + -8) + 12 = 0 Reorder the terms: (-3 + x)(x + -8) + 12 = 0 Reorder the terms: (-3 + x)(-8 + x) + 12 = 0 Multiply (-3 + x) * (-8 + x) (-3(-8 + x) + x(-8 + x)) + 12 = 0 ((-8 * -3 + x * -3) + x(-8 + x)) + 12 = 0 ((24 + -3x) + x(-8 + x)) + 12 = 0 (24 + -3x + (-8 * x + x * x)) + 12 = 0 (24 + -3x + (-8x + x2)) + 12 = 0 Combine like terms: -3x + -8x = -11x (24 + -11x + x2) + 12 = 0 Reorder the terms: 24 + 12 + -11x + x2 = 0 Combine like terms: 24 + 12 = 36 36 + -11x + x2 = 0 Solving 36 + -11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -11x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -11x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -11x + x2 = 0 + -36 -11x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -11x + x2 = -36 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -36 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -36 + 30.25 Combine like terms: -36 + 30.25 = -5.75 30.25 + -11x + x2 = -5.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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