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Simplifying 0.04x2 + 1.1x + 100 = 0 Reorder the terms: 100 + 1.1x + 0.04x2 = 0 Solving 100 + 1.1x + 0.04x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.04 the coefficient of the squared term: Divide each side by '0.04'. 2500 + 27.5x + x2 = 0 Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + 27.5x + -2500 + x2 = 0 + -2500 Reorder the terms: 2500 + -2500 + 27.5x + x2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + 27.5x + x2 = 0 + -2500 27.5x + x2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 27.5x + x2 = -2500 The x term is 27.5x. Take half its coefficient (13.75). Square it (189.0625) and add it to both sides. Add '189.0625' to each side of the equation. 27.5x + 189.0625 + x2 = -2500 + 189.0625 Reorder the terms: 189.0625 + 27.5x + x2 = -2500 + 189.0625 Combine like terms: -2500 + 189.0625 = -2310.9375 189.0625 + 27.5x + x2 = -2310.9375 Factor a perfect square on the left side: (x + 13.75)(x + 13.75) = -2310.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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