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Simplifying 6.2x2 + 11x + 32 = 0 Reorder the terms: 32 + 11x + 6.2x2 = 0 Solving 32 + 11x + 6.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6.2 the coefficient of the squared term: Divide each side by '6.2'. 5.161290323 + 1.774193548x + x2 = 0 Move the constant term to the right: Add '-5.161290323' to each side of the equation. 5.161290323 + 1.774193548x + -5.161290323 + x2 = 0 + -5.161290323 Reorder the terms: 5.161290323 + -5.161290323 + 1.774193548x + x2 = 0 + -5.161290323 Combine like terms: 5.161290323 + -5.161290323 = 0.000000000 0.000000000 + 1.774193548x + x2 = 0 + -5.161290323 1.774193548x + x2 = 0 + -5.161290323 Combine like terms: 0 + -5.161290323 = -5.161290323 1.774193548x + x2 = -5.161290323 The x term is 1.774193548x. Take half its coefficient (0.887096774). Square it (0.7869406864) and add it to both sides. Add '0.7869406864' to each side of the equation. 1.774193548x + 0.7869406864 + x2 = -5.161290323 + 0.7869406864 Reorder the terms: 0.7869406864 + 1.774193548x + x2 = -5.161290323 + 0.7869406864 Combine like terms: -5.161290323 + 0.7869406864 = -4.3743496366 0.7869406864 + 1.774193548x + x2 = -4.3743496366 Factor a perfect square on the left side: (x + 0.887096774)(x + 0.887096774) = -4.3743496366 Can't calculate square root of the right side. The solution to this equation could not be determined.
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