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Simplifying 0.075X2 + -10X + 1200 = 0 Reorder the terms: 1200 + -10X + 0.075X2 = 0 Solving 1200 + -10X + 0.075X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 0.075 the coefficient of the squared term: Divide each side by '0.075'. 16000 + -133.3333333X + X2 = 0 Move the constant term to the right: Add '-16000' to each side of the equation. 16000 + -133.3333333X + -16000 + X2 = 0 + -16000 Reorder the terms: 16000 + -16000 + -133.3333333X + X2 = 0 + -16000 Combine like terms: 16000 + -16000 = 0 0 + -133.3333333X + X2 = 0 + -16000 -133.3333333X + X2 = 0 + -16000 Combine like terms: 0 + -16000 = -16000 -133.3333333X + X2 = -16000 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 = -16000 + 4444.444442 Reorder the terms: 4444.444442 + -133.3333333X + X2 = -16000 + 4444.444442 Combine like terms: -16000 + 4444.444442 = -11555.555558 4444.444442 + -133.3333333X + X2 = -11555.555558 Factor a perfect square on the left side: (X + -66.66666665)(X + -66.66666665) = -11555.555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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