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Simplifying -3x2 + 400x + -16000 = 0 Reorder the terms: -16000 + 400x + -3x2 = 0 Solving -16000 + 400x + -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'. 5333.333333 + -133.3333333x + x2 = 0 Move the constant term to the right: Add '-5333.333333' to each side of the equation. 5333.333333 + -133.3333333x + -5333.333333 + x2 = 0 + -5333.333333 Reorder the terms: 5333.333333 + -5333.333333 + -133.3333333x + x2 = 0 + -5333.333333 Combine like terms: 5333.333333 + -5333.333333 = 0.000000 0.000000 + -133.3333333x + x2 = 0 + -5333.333333 -133.3333333x + x2 = 0 + -5333.333333 Combine like terms: 0 + -5333.333333 = -5333.333333 -133.3333333x + x2 = -5333.333333 The x term is -133.3333333x. Take half its coefficient (-66.66666665). Square it (4444.444442) and add it to both sides. Add '4444.444442' to each side of the equation. -133.3333333x + 4444.444442 + x2 = -5333.333333 + 4444.444442 Reorder the terms: 4444.444442 + -133.3333333x + x2 = -5333.333333 + 4444.444442 Combine like terms: -5333.333333 + 4444.444442 = -888.888891 4444.444442 + -133.3333333x + x2 = -888.888891 Factor a perfect square on the left side: (x + -66.66666665)(x + -66.66666665) = -888.888891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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