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Simplifying 20x2 + -20x = -9 Reorder the terms: -20x + 20x2 = -9 Solving -20x + 20x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + -20x + 20x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -20x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.45 + -1x + x2 = 0 Move the constant term to the right: Add '-0.45' to each side of the equation. 0.45 + -1x + -0.45 + x2 = 0 + -0.45 Reorder the terms: 0.45 + -0.45 + -1x + x2 = 0 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -1x + x2 = 0 + -0.45 -1x + x2 = 0 + -0.45 Combine like terms: 0 + -0.45 = -0.45 -1x + x2 = -0.45 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.45 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.45 + 0.25 Combine like terms: -0.45 + 0.25 = -0.2 0.25 + -1x + x2 = -0.2 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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