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Simplifying 0.05x2 + -5x + 200 = 0 Reorder the terms: 200 + -5x + 0.05x2 = 0 Solving 200 + -5x + 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'. 4000 + -100x + x2 = 0 Move the constant term to the right: Add '-4000' to each side of the equation. 4000 + -100x + -4000 + x2 = 0 + -4000 Reorder the terms: 4000 + -4000 + -100x + x2 = 0 + -4000 Combine like terms: 4000 + -4000 = 0 0 + -100x + x2 = 0 + -4000 -100x + x2 = 0 + -4000 Combine like terms: 0 + -4000 = -4000 -100x + x2 = -4000 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -4000 + 2500 Reorder the terms: 2500 + -100x + x2 = -4000 + 2500 Combine like terms: -4000 + 2500 = -1500 2500 + -100x + x2 = -1500 Factor a perfect square on the left side: (x + -50)(x + -50) = -1500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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