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Simplifying 3x2 + 0.4x + 0.04 = 0 Reorder the terms: 0.04 + 0.4x + 3x2 = 0 Solving 0.04 + 0.4x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.01333333333 + 0.1333333333x + x2 = 0 Move the constant term to the right: Add '-0.01333333333' to each side of the equation. 0.01333333333 + 0.1333333333x + -0.01333333333 + x2 = 0 + -0.01333333333 Reorder the terms: 0.01333333333 + -0.01333333333 + 0.1333333333x + x2 = 0 + -0.01333333333 Combine like terms: 0.01333333333 + -0.01333333333 = 0.00000000000 0.00000000000 + 0.1333333333x + x2 = 0 + -0.01333333333 0.1333333333x + x2 = 0 + -0.01333333333 Combine like terms: 0 + -0.01333333333 = -0.01333333333 0.1333333333x + x2 = -0.01333333333 The x term is 0.1333333333x. Take half its coefficient (0.06666666665). Square it (0.004444444442) and add it to both sides. Add '0.004444444442' to each side of the equation. 0.1333333333x + 0.004444444442 + x2 = -0.01333333333 + 0.004444444442 Reorder the terms: 0.004444444442 + 0.1333333333x + x2 = -0.01333333333 + 0.004444444442 Combine like terms: -0.01333333333 + 0.004444444442 = -0.008888888888 0.004444444442 + 0.1333333333x + x2 = -0.008888888888 Factor a perfect square on the left side: (x + 0.06666666665)(x + 0.06666666665) = -0.008888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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