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Simplifying 0.001x2 + 0.6x + 140 = 0 Reorder the terms: 140 + 0.6x + 0.001x2 = 0 Solving 140 + 0.6x + 0.001x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.001 the coefficient of the squared term: Divide each side by '0.001'. 140000 + 600x + x2 = 0 Move the constant term to the right: Add '-140000' to each side of the equation. 140000 + 600x + -140000 + x2 = 0 + -140000 Reorder the terms: 140000 + -140000 + 600x + x2 = 0 + -140000 Combine like terms: 140000 + -140000 = 0 0 + 600x + x2 = 0 + -140000 600x + x2 = 0 + -140000 Combine like terms: 0 + -140000 = -140000 600x + x2 = -140000 The x term is 600x. Take half its coefficient (300). Square it (90000) and add it to both sides. Add '90000' to each side of the equation. 600x + 90000 + x2 = -140000 + 90000 Reorder the terms: 90000 + 600x + x2 = -140000 + 90000 Combine like terms: -140000 + 90000 = -50000 90000 + 600x + x2 = -50000 Factor a perfect square on the left side: (x + 300)(x + 300) = -50000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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