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Simplifying 0.01x2 + -1x + 27 = 0 Reorder the terms: 27 + -1x + 0.01x2 = 0 Solving 27 + -1x + 0.01x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.01 the coefficient of the squared term: Divide each side by '0.01'. 2700 + -100x + x2 = 0 Move the constant term to the right: Add '-2700' to each side of the equation. 2700 + -100x + -2700 + x2 = 0 + -2700 Reorder the terms: 2700 + -2700 + -100x + x2 = 0 + -2700 Combine like terms: 2700 + -2700 = 0 0 + -100x + x2 = 0 + -2700 -100x + x2 = 0 + -2700 Combine like terms: 0 + -2700 = -2700 -100x + x2 = -2700 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -2700 + 2500 Reorder the terms: 2500 + -100x + x2 = -2700 + 2500 Combine like terms: -2700 + 2500 = -200 2500 + -100x + x2 = -200 Factor a perfect square on the left side: (x + -50)(x + -50) = -200 Can't calculate square root of the right side. The solution to this equation could not be determined.
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