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Simplifying 0.01x2 + 3x + 625 = 0 Reorder the terms: 625 + 3x + 0.01x2 = 0 Solving 625 + 3x + 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'. 62500 + 300x + x2 = 0 Move the constant term to the right: Add '-62500' to each side of the equation. 62500 + 300x + -62500 + x2 = 0 + -62500 Reorder the terms: 62500 + -62500 + 300x + x2 = 0 + -62500 Combine like terms: 62500 + -62500 = 0 0 + 300x + x2 = 0 + -62500 300x + x2 = 0 + -62500 Combine like terms: 0 + -62500 = -62500 300x + x2 = -62500 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 = -62500 + 22500 Reorder the terms: 22500 + 300x + x2 = -62500 + 22500 Combine like terms: -62500 + 22500 = -40000 22500 + 300x + x2 = -40000 Factor a perfect square on the left side: (x + 150)(x + 150) = -40000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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