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Simplifying 0.2x2 + 3 + 8 = x Reorder the terms: 3 + 8 + 0.2x2 = x Combine like terms: 3 + 8 = 11 11 + 0.2x2 = x Solving 11 + 0.2x2 = x Solving for variable 'x'. Reorder the terms: 11 + -1x + 0.2x2 = x + -1x Combine like terms: x + -1x = 0 11 + -1x + 0.2x2 = 0 Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 55 + -5x + x2 = 0 Move the constant term to the right: Add '-55' to each side of the equation. 55 + -5x + -55 + x2 = 0 + -55 Reorder the terms: 55 + -55 + -5x + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -5x + x2 = 0 + -55 -5x + x2 = 0 + -55 Combine like terms: 0 + -55 = -55 -5x + x2 = -55 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -55 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -55 + 6.25 Combine like terms: -55 + 6.25 = -48.75 6.25 + -5x + x2 = -48.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -48.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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