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Simplifying 40x2 + 9x + 106 = 0 Reorder the terms: 106 + 9x + 40x2 = 0 Solving 106 + 9x + 40x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 2.65 + 0.225x + x2 = 0 Move the constant term to the right: Add '-2.65' to each side of the equation. 2.65 + 0.225x + -2.65 + x2 = 0 + -2.65 Reorder the terms: 2.65 + -2.65 + 0.225x + x2 = 0 + -2.65 Combine like terms: 2.65 + -2.65 = 0.00 0.00 + 0.225x + x2 = 0 + -2.65 0.225x + x2 = 0 + -2.65 Combine like terms: 0 + -2.65 = -2.65 0.225x + x2 = -2.65 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 = -2.65 + 0.01265625 Reorder the terms: 0.01265625 + 0.225x + x2 = -2.65 + 0.01265625 Combine like terms: -2.65 + 0.01265625 = -2.63734375 0.01265625 + 0.225x + x2 = -2.63734375 Factor a perfect square on the left side: (x + 0.1125)(x + 0.1125) = -2.63734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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