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Simplifying 3x2 + -40x + 150 = 0 Reorder the terms: 150 + -40x + 3x2 = 0 Solving 150 + -40x + 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'. 50 + -13.33333333x + x2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + -13.33333333x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -13.33333333x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -13.33333333x + x2 = 0 + -50 -13.33333333x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -13.33333333x + x2 = -50 The x term is -13.33333333x. 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. -13.33333333x + 44.44444442 + x2 = -50 + 44.44444442 Reorder the terms: 44.44444442 + -13.33333333x + x2 = -50 + 44.44444442 Combine like terms: -50 + 44.44444442 = -5.55555558 44.44444442 + -13.33333333x + x2 = -5.55555558 Factor a perfect square on the left side: (x + -6.666666665)(x + -6.666666665) = -5.55555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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