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Simplifying 0.2x2 + -0.1x + 0.03 = 0 Reorder the terms: 0.03 + -0.1x + 0.2x2 = 0 Solving 0.03 + -0.1x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 0.15 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.15' to each side of the equation. 0.15 + -0.5x + -0.15 + x2 = 0 + -0.15 Reorder the terms: 0.15 + -0.15 + -0.5x + x2 = 0 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.5x + x2 = 0 + -0.15 -0.5x + x2 = 0 + -0.15 Combine like terms: 0 + -0.15 = -0.15 -0.5x + x2 = -0.15 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.15 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.15 + 0.0625 Combine like terms: -0.15 + 0.0625 = -0.0875 0.0625 + -0.5x + x2 = -0.0875 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.0875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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