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Simplifying 6x2 + -8x + 3 = 0 Reorder the terms: 3 + -8x + 6x2 = 0 Solving 3 + -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'. 0.5 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1.333333333x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1.333333333x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.333333333x + x2 = 0 + -0.5 -1.333333333x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1.333333333x + x2 = -0.5 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -0.5 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -0.5 + 0.4444444442 Combine like terms: -0.5 + 0.4444444442 = -0.0555555558 0.4444444442 + -1.333333333x + x2 = -0.0555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -0.0555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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