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Simplifying 0.5 + 0.1x + 0.4x2 = 0 Solving 0.5 + 0.1x + 0.4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.4 the coefficient of the squared term: Divide each side by '0.4'. 1.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 0.25x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 0.25x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.25x + x2 = 0 + -1.25 0.25x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 0.25x + x2 = -1.25 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -1.25 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -1.25 + 0.015625 Combine like terms: -1.25 + 0.015625 = -1.234375 0.015625 + 0.25x + x2 = -1.234375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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