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Simplifying 8x2 + -28x + 29 = 0 Reorder the terms: 29 + -28x + 8x2 = 0 Solving 29 + -28x + 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'. 3.625 + -3.5x + x2 = 0 Move the constant term to the right: Add '-3.625' to each side of the equation. 3.625 + -3.5x + -3.625 + x2 = 0 + -3.625 Reorder the terms: 3.625 + -3.625 + -3.5x + x2 = 0 + -3.625 Combine like terms: 3.625 + -3.625 = 0.000 0.000 + -3.5x + x2 = 0 + -3.625 -3.5x + x2 = 0 + -3.625 Combine like terms: 0 + -3.625 = -3.625 -3.5x + x2 = -3.625 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -3.625 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -3.625 + 3.0625 Combine like terms: -3.625 + 3.0625 = -0.5625 3.0625 + -3.5x + x2 = -0.5625 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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