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Simplifying 20x2 + 1 = 8x Reorder the terms: 1 + 20x2 = 8x Solving 1 + 20x2 = 8x Solving for variable 'x'. Reorder the terms: 1 + -8x + 20x2 = 8x + -8x Combine like terms: 8x + -8x = 0 1 + -8x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.05 + -0.4x + x2 = 0 Move the constant term to the right: Add '-0.05' to each side of the equation. 0.05 + -0.4x + -0.05 + x2 = 0 + -0.05 Reorder the terms: 0.05 + -0.05 + -0.4x + x2 = 0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.4x + x2 = 0 + -0.05 -0.4x + x2 = 0 + -0.05 Combine like terms: 0 + -0.05 = -0.05 -0.4x + x2 = -0.05 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.05 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.05 + 0.04 Combine like terms: -0.05 + 0.04 = -0.01 0.04 + -0.4x + x2 = -0.01 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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