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Simplifying 45x2 + -6x + 20 = 0 Reorder the terms: 20 + -6x + 45x2 = 0 Solving 20 + -6x + 45x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 0.4444444444 + -0.1333333333x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.1333333333x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.1333333333x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.1333333333x + x2 = 0 + -0.4444444444 -0.1333333333x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.1333333333x + x2 = -0.4444444444 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 = -0.4444444444 + 0.004444444442 Reorder the terms: 0.004444444442 + -0.1333333333x + x2 = -0.4444444444 + 0.004444444442 Combine like terms: -0.4444444444 + 0.004444444442 = -0.439999999958 0.004444444442 + -0.1333333333x + x2 = -0.439999999958 Factor a perfect square on the left side: (x + -0.06666666665)(x + -0.06666666665) = -0.439999999958 Can't calculate square root of the right side. The solution to this equation could not be determined.
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