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Simplifying 0 = 3x2 + -400x + 3000000 Reorder the terms: 0 = 3000000 + -400x + 3x2 Solving 0 = 3000000 + -400x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -3000000 = -3000000 -3000000 + 400x + -3x2 = 3000000 + -400x + 3x2 + -3000000 + 400x + -3x2 Reorder the terms: -3000000 + 400x + -3x2 = 3000000 + -3000000 + -400x + 400x + 3x2 + -3x2 Combine like terms: 3000000 + -3000000 = 0 -3000000 + 400x + -3x2 = 0 + -400x + 400x + 3x2 + -3x2 -3000000 + 400x + -3x2 = -400x + 400x + 3x2 + -3x2 Combine like terms: -400x + 400x = 0 -3000000 + 400x + -3x2 = 0 + 3x2 + -3x2 -3000000 + 400x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3000000 + 400x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1000000 + -133.3333333x + x2 = 0 Move the constant term to the right: Add '-1000000' to each side of the equation. 1000000 + -133.3333333x + -1000000 + x2 = 0 + -1000000 Reorder the terms: 1000000 + -1000000 + -133.3333333x + x2 = 0 + -1000000 Combine like terms: 1000000 + -1000000 = 0 0 + -133.3333333x + x2 = 0 + -1000000 -133.3333333x + x2 = 0 + -1000000 Combine like terms: 0 + -1000000 = -1000000 -133.3333333x + x2 = -1000000 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 = -1000000 + 4444.444442 Reorder the terms: 4444.444442 + -133.3333333x + x2 = -1000000 + 4444.444442 Combine like terms: -1000000 + 4444.444442 = -995555.555558 4444.444442 + -133.3333333x + x2 = -995555.555558 Factor a perfect square on the left side: (x + -66.66666665)(x + -66.66666665) = -995555.555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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