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Simplifying 0.1x2 + -0.3x + 6 = 0 Reorder the terms: 6 + -0.3x + 0.1x2 = 0 Solving 6 + -0.3x + 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'. 60 + -3x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -3x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -3x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -3x + x2 = 0 + -60 -3x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -3x + x2 = -60 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -60 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -60 + 2.25 Combine like terms: -60 + 2.25 = -57.75 2.25 + -3x + x2 = -57.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -57.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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