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Simplifying 0.05x2 + -12x + 2700 = 0 Reorder the terms: 2700 + -12x + 0.05x2 = 0 Solving 2700 + -12x + 0.05x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.05 the coefficient of the squared term: Divide each side by '0.05'. 54000 + -240x + x2 = 0 Move the constant term to the right: Add '-54000' to each side of the equation. 54000 + -240x + -54000 + x2 = 0 + -54000 Reorder the terms: 54000 + -54000 + -240x + x2 = 0 + -54000 Combine like terms: 54000 + -54000 = 0 0 + -240x + x2 = 0 + -54000 -240x + x2 = 0 + -54000 Combine like terms: 0 + -54000 = -54000 -240x + x2 = -54000 The x term is -240x. Take half its coefficient (-120). Square it (14400) and add it to both sides. Add '14400' to each side of the equation. -240x + 14400 + x2 = -54000 + 14400 Reorder the terms: 14400 + -240x + x2 = -54000 + 14400 Combine like terms: -54000 + 14400 = -39600 14400 + -240x + x2 = -39600 Factor a perfect square on the left side: (x + -120)(x + -120) = -39600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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