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Simplifying 1.92x2 + 3.83x + 1.92 = 0 Reorder the terms: 1.92 + 3.83x + 1.92x2 = 0 Solving 1.92 + 3.83x + 1.92x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.92 the coefficient of the squared term: Divide each side by '1.92'. 1 + 1.994791667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.994791667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.994791667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.994791667x + x2 = 0 + -1 1.994791667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.994791667x + x2 = -1 The x term is 1.994791667x. Take half its coefficient (0.9973958335). Square it (0.9947984487) and add it to both sides. Add '0.9947984487' to each side of the equation. 1.994791667x + 0.9947984487 + x2 = -1 + 0.9947984487 Reorder the terms: 0.9947984487 + 1.994791667x + x2 = -1 + 0.9947984487 Combine like terms: -1 + 0.9947984487 = -0.0052015513 0.9947984487 + 1.994791667x + x2 = -0.0052015513 Factor a perfect square on the left side: (x + 0.9973958335)(x + 0.9973958335) = -0.0052015513 Can't calculate square root of the right side. The solution to this equation could not be determined.
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