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Simplifying 8x2 + 22x + 121 = 0 Reorder the terms: 121 + 22x + 8x2 = 0 Solving 121 + 22x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 15.125 + 2.75x + x2 = 0 Move the constant term to the right: Add '-15.125' to each side of the equation. 15.125 + 2.75x + -15.125 + x2 = 0 + -15.125 Reorder the terms: 15.125 + -15.125 + 2.75x + x2 = 0 + -15.125 Combine like terms: 15.125 + -15.125 = 0.000 0.000 + 2.75x + x2 = 0 + -15.125 2.75x + x2 = 0 + -15.125 Combine like terms: 0 + -15.125 = -15.125 2.75x + x2 = -15.125 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -15.125 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -15.125 + 1.890625 Combine like terms: -15.125 + 1.890625 = -13.234375 1.890625 + 2.75x + x2 = -13.234375 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = -13.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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