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Simplifying 4x2 + 45x + 140 = 0 Reorder the terms: 140 + 45x + 4x2 = 0 Solving 140 + 45x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 35 + 11.25x + x2 = 0 Move the constant term to the right: Add '-35' to each side of the equation. 35 + 11.25x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + 11.25x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 11.25x + x2 = 0 + -35 11.25x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 11.25x + x2 = -35 The x term is 11.25x. Take half its coefficient (5.625). Square it (31.640625) and add it to both sides. Add '31.640625' to each side of the equation. 11.25x + 31.640625 + x2 = -35 + 31.640625 Reorder the terms: 31.640625 + 11.25x + x2 = -35 + 31.640625 Combine like terms: -35 + 31.640625 = -3.359375 31.640625 + 11.25x + x2 = -3.359375 Factor a perfect square on the left side: (x + 5.625)(x + 5.625) = -3.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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