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Simplifying 0.4925 + -0.9x + 4x2 = 0 Solving 0.4925 + -0.9x + 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'. 0.123125 + -0.225x + x2 = 0 Move the constant term to the right: Add '-0.123125' to each side of the equation. 0.123125 + -0.225x + -0.123125 + x2 = 0 + -0.123125 Reorder the terms: 0.123125 + -0.123125 + -0.225x + x2 = 0 + -0.123125 Combine like terms: 0.123125 + -0.123125 = 0.000000 0.000000 + -0.225x + x2 = 0 + -0.123125 -0.225x + x2 = 0 + -0.123125 Combine like terms: 0 + -0.123125 = -0.123125 -0.225x + x2 = -0.123125 The x term is -0.225x. Take half its coefficient (-0.1125). Square it (0.01265625) and add it to both sides. Add '0.01265625' to each side of the equation. -0.225x + 0.01265625 + x2 = -0.123125 + 0.01265625 Reorder the terms: 0.01265625 + -0.225x + x2 = -0.123125 + 0.01265625 Combine like terms: -0.123125 + 0.01265625 = -0.11046875 0.01265625 + -0.225x + x2 = -0.11046875 Factor a perfect square on the left side: (x + -0.1125)(x + -0.1125) = -0.11046875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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