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Simplifying 8x2 + -13x + 16 = 0 Reorder the terms: 16 + -13x + 8x2 = 0 Solving 16 + -13x + 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'. 2 + -1.625x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.625x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.625x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.625x + x2 = 0 + -2 -1.625x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.625x + x2 = -2 The x term is -1.625x. Take half its coefficient (-0.8125). Square it (0.66015625) and add it to both sides. Add '0.66015625' to each side of the equation. -1.625x + 0.66015625 + x2 = -2 + 0.66015625 Reorder the terms: 0.66015625 + -1.625x + x2 = -2 + 0.66015625 Combine like terms: -2 + 0.66015625 = -1.33984375 0.66015625 + -1.625x + x2 = -1.33984375 Factor a perfect square on the left side: (x + -0.8125)(x + -0.8125) = -1.33984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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