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Simplifying 6x2 + -0.8x + 42 = 0 Reorder the terms: 42 + -0.8x + 6x2 = 0 Solving 42 + -0.8x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 7 + -0.1333333333x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.1333333333x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -0.1333333333x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.1333333333x + x2 = 0 + -7 -0.1333333333x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.1333333333x + x2 = -7 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 = -7 + 0.004444444442 Reorder the terms: 0.004444444442 + -0.1333333333x + x2 = -7 + 0.004444444442 Combine like terms: -7 + 0.004444444442 = -6.995555555558 0.004444444442 + -0.1333333333x + x2 = -6.995555555558 Factor a perfect square on the left side: (x + -0.06666666665)(x + -0.06666666665) = -6.995555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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