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Simplifying 0.1x2 + 2x + 50 = 0 Reorder the terms: 50 + 2x + 0.1x2 = 0 Solving 50 + 2x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 500 + 20x + x2 = 0 Move the constant term to the right: Add '-500' to each side of the equation. 500 + 20x + -500 + x2 = 0 + -500 Reorder the terms: 500 + -500 + 20x + x2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + 20x + x2 = 0 + -500 20x + x2 = 0 + -500 Combine like terms: 0 + -500 = -500 20x + x2 = -500 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -500 + 100 Reorder the terms: 100 + 20x + x2 = -500 + 100 Combine like terms: -500 + 100 = -400 100 + 20x + x2 = -400 Factor a perfect square on the left side: (x + 10)(x + 10) = -400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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