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Simplifying 3x2 + -40x + 2000 = 0 Reorder the terms: 2000 + -40x + 3x2 = 0 Solving 2000 + -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'. 666.6666667 + -13.33333333x + x2 = 0 Move the constant term to the right: Add '-666.6666667' to each side of the equation. 666.6666667 + -13.33333333x + -666.6666667 + x2 = 0 + -666.6666667 Reorder the terms: 666.6666667 + -666.6666667 + -13.33333333x + x2 = 0 + -666.6666667 Combine like terms: 666.6666667 + -666.6666667 = 0.0000000 0.0000000 + -13.33333333x + x2 = 0 + -666.6666667 -13.33333333x + x2 = 0 + -666.6666667 Combine like terms: 0 + -666.6666667 = -666.6666667 -13.33333333x + x2 = -666.6666667 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 = -666.6666667 + 44.44444442 Reorder the terms: 44.44444442 + -13.33333333x + x2 = -666.6666667 + 44.44444442 Combine like terms: -666.6666667 + 44.44444442 = -622.22222228 44.44444442 + -13.33333333x + x2 = -622.22222228 Factor a perfect square on the left side: (x + -6.666666665)(x + -6.666666665) = -622.22222228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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