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Simplifying 3x4 + -40x2 + 240 = 0 Reorder the terms: 240 + -40x2 + 3x4 = 0 Solving 240 + -40x2 + 3x4 = 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'. 80 + -13.33333333x2 + x4 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -13.33333333x2 + -80 + x4 = 0 + -80 Reorder the terms: 80 + -80 + -13.33333333x2 + x4 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -13.33333333x2 + x4 = 0 + -80 -13.33333333x2 + x4 = 0 + -80 Combine like terms: 0 + -80 = -80 -13.33333333x2 + x4 = -80 The x term is -13.33333333x2. Take half its coefficient (-6.666666665). Square it (44.44444442) and add it to both sides. Add '44.44444442' to each side of the equation. -13.33333333x2 + 44.44444442 + x4 = -80 + 44.44444442 Reorder the terms: 44.44444442 + -13.33333333x2 + x4 = -80 + 44.44444442 Combine like terms: -80 + 44.44444442 = -35.55555558 44.44444442 + -13.33333333x2 + x4 = -35.55555558 Factor a perfect square on the left side: (x2 + -6.666666665)(x2 + -6.666666665) = -35.55555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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