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Simplifying 8x2 + -35x + 41 = 0 Reorder the terms: 41 + -35x + 8x2 = 0 Solving 41 + -35x + 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'. 5.125 + -4.375x + x2 = 0 Move the constant term to the right: Add '-5.125' to each side of the equation. 5.125 + -4.375x + -5.125 + x2 = 0 + -5.125 Reorder the terms: 5.125 + -5.125 + -4.375x + x2 = 0 + -5.125 Combine like terms: 5.125 + -5.125 = 0.000 0.000 + -4.375x + x2 = 0 + -5.125 -4.375x + x2 = 0 + -5.125 Combine like terms: 0 + -5.125 = -5.125 -4.375x + x2 = -5.125 The x term is -4.375x. Take half its coefficient (-2.1875). Square it (4.78515625) and add it to both sides. Add '4.78515625' to each side of the equation. -4.375x + 4.78515625 + x2 = -5.125 + 4.78515625 Reorder the terms: 4.78515625 + -4.375x + x2 = -5.125 + 4.78515625 Combine like terms: -5.125 + 4.78515625 = -0.33984375 4.78515625 + -4.375x + x2 = -0.33984375 Factor a perfect square on the left side: (x + -2.1875)(x + -2.1875) = -0.33984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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