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Simplifying 0.05x2 + 15x + 5000 = 0 Reorder the terms: 5000 + 15x + 0.05x2 = 0 Solving 5000 + 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'. 100000 + 300x + x2 = 0 Move the constant term to the right: Add '-100000' to each side of the equation. 100000 + 300x + -100000 + x2 = 0 + -100000 Reorder the terms: 100000 + -100000 + 300x + x2 = 0 + -100000 Combine like terms: 100000 + -100000 = 0 0 + 300x + x2 = 0 + -100000 300x + x2 = 0 + -100000 Combine like terms: 0 + -100000 = -100000 300x + x2 = -100000 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 = -100000 + 22500 Reorder the terms: 22500 + 300x + x2 = -100000 + 22500 Combine like terms: -100000 + 22500 = -77500 22500 + 300x + x2 = -77500 Factor a perfect square on the left side: (x + 150)(x + 150) = -77500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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