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Simplifying 5x2 + 0.46x + 0.411 = 0 Reorder the terms: 0.411 + 0.46x + 5x2 = 0 Solving 0.411 + 0.46x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.0822 + 0.092x + x2 = 0 Move the constant term to the right: Add '-0.0822' to each side of the equation. 0.0822 + 0.092x + -0.0822 + x2 = 0 + -0.0822 Reorder the terms: 0.0822 + -0.0822 + 0.092x + x2 = 0 + -0.0822 Combine like terms: 0.0822 + -0.0822 = 0.0000 0.0000 + 0.092x + x2 = 0 + -0.0822 0.092x + x2 = 0 + -0.0822 Combine like terms: 0 + -0.0822 = -0.0822 0.092x + x2 = -0.0822 The x term is 0.092x. Take half its coefficient (0.046). Square it (0.002116) and add it to both sides. Add '0.002116' to each side of the equation. 0.092x + 0.002116 + x2 = -0.0822 + 0.002116 Reorder the terms: 0.002116 + 0.092x + x2 = -0.0822 + 0.002116 Combine like terms: -0.0822 + 0.002116 = -0.080084 0.002116 + 0.092x + x2 = -0.080084 Factor a perfect square on the left side: (x + 0.046)(x + 0.046) = -0.080084 Can't calculate square root of the right side. The solution to this equation could not be determined.
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