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Simplifying 4.9x2 + 5x + 40 = 0 Reorder the terms: 40 + 5x + 4.9x2 = 0 Solving 40 + 5x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 8.163265306 + 1.020408163x + x2 = 0 Move the constant term to the right: Add '-8.163265306' to each side of the equation. 8.163265306 + 1.020408163x + -8.163265306 + x2 = 0 + -8.163265306 Reorder the terms: 8.163265306 + -8.163265306 + 1.020408163x + x2 = 0 + -8.163265306 Combine like terms: 8.163265306 + -8.163265306 = 0.000000000 0.000000000 + 1.020408163x + x2 = 0 + -8.163265306 1.020408163x + x2 = 0 + -8.163265306 Combine like terms: 0 + -8.163265306 = -8.163265306 1.020408163x + x2 = -8.163265306 The x term is 1.020408163x. Take half its coefficient (0.5102040815). Square it (0.2603082048) and add it to both sides. Add '0.2603082048' to each side of the equation. 1.020408163x + 0.2603082048 + x2 = -8.163265306 + 0.2603082048 Reorder the terms: 0.2603082048 + 1.020408163x + x2 = -8.163265306 + 0.2603082048 Combine like terms: -8.163265306 + 0.2603082048 = -7.9029571012 0.2603082048 + 1.020408163x + x2 = -7.9029571012 Factor a perfect square on the left side: (x + 0.5102040815)(x + 0.5102040815) = -7.9029571012 Can't calculate square root of the right side. The solution to this equation could not be determined.
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