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Simplifying 0.05x2 + -15x + 2000 = 0 Reorder the terms: 2000 + -15x + 0.05x2 = 0 Solving 2000 + -15x + 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'. 40000 + -300x + x2 = 0 Move the constant term to the right: Add '-40000' to each side of the equation. 40000 + -300x + -40000 + x2 = 0 + -40000 Reorder the terms: 40000 + -40000 + -300x + x2 = 0 + -40000 Combine like terms: 40000 + -40000 = 0 0 + -300x + x2 = 0 + -40000 -300x + x2 = 0 + -40000 Combine like terms: 0 + -40000 = -40000 -300x + x2 = -40000 The x term is -300x. Take half its coefficient (-150). Square it (22500) and add it to both sides. Add '22500' to each side of the equation. -300x + 22500 + x2 = -40000 + 22500 Reorder the terms: 22500 + -300x + x2 = -40000 + 22500 Combine like terms: -40000 + 22500 = -17500 22500 + -300x + x2 = -17500 Factor a perfect square on the left side: (x + -150)(x + -150) = -17500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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