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Simplifying 8x2 + 83x + 240 = 0 Reorder the terms: 240 + 83x + 8x2 = 0 Solving 240 + 83x + 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'. 30 + 10.375x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + 10.375x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + 10.375x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10.375x + x2 = 0 + -30 10.375x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 10.375x + x2 = -30 The x term is 10.375x. Take half its coefficient (5.1875). Square it (26.91015625) and add it to both sides. Add '26.91015625' to each side of the equation. 10.375x + 26.91015625 + x2 = -30 + 26.91015625 Reorder the terms: 26.91015625 + 10.375x + x2 = -30 + 26.91015625 Combine like terms: -30 + 26.91015625 = -3.08984375 26.91015625 + 10.375x + x2 = -3.08984375 Factor a perfect square on the left side: (x + 5.1875)(x + 5.1875) = -3.08984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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