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Simplifying 40x2 + -3x + 2 = 0 Reorder the terms: 2 + -3x + 40x2 = 0 Solving 2 + -3x + 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'. 0.05 + -0.075x + x2 = 0 Move the constant term to the right: Add '-0.05' to each side of the equation. 0.05 + -0.075x + -0.05 + x2 = 0 + -0.05 Reorder the terms: 0.05 + -0.05 + -0.075x + x2 = 0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.075x + x2 = 0 + -0.05 -0.075x + x2 = 0 + -0.05 Combine like terms: 0 + -0.05 = -0.05 -0.075x + x2 = -0.05 The x term is -0.075x. Take half its coefficient (-0.0375). Square it (0.00140625) and add it to both sides. Add '0.00140625' to each side of the equation. -0.075x + 0.00140625 + x2 = -0.05 + 0.00140625 Reorder the terms: 0.00140625 + -0.075x + x2 = -0.05 + 0.00140625 Combine like terms: -0.05 + 0.00140625 = -0.04859375 0.00140625 + -0.075x + x2 = -0.04859375 Factor a perfect square on the left side: (x + -0.0375)(x + -0.0375) = -0.04859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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