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Simplifying x2 + -8x + 6 = -110 Reorder the terms: 6 + -8x + x2 = -110 Solving 6 + -8x + x2 = -110 Solving for variable 'x'. Reorder the terms: 6 + 110 + -8x + x2 = -110 + 110 Combine like terms: 6 + 110 = 116 116 + -8x + x2 = -110 + 110 Combine like terms: -110 + 110 = 0 116 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-116' to each side of the equation. 116 + -8x + -116 + x2 = 0 + -116 Reorder the terms: 116 + -116 + -8x + x2 = 0 + -116 Combine like terms: 116 + -116 = 0 0 + -8x + x2 = 0 + -116 -8x + x2 = 0 + -116 Combine like terms: 0 + -116 = -116 -8x + x2 = -116 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -116 + 16 Reorder the terms: 16 + -8x + x2 = -116 + 16 Combine like terms: -116 + 16 = -100 16 + -8x + x2 = -100 Factor a perfect square on the left side: (x + -4)(x + -4) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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