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Simplifying 10x2 + 31x + 27 = 0 Reorder the terms: 27 + 31x + 10x2 = 0 Solving 27 + 31x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.7 + 3.1x + x2 = 0 Move the constant term to the right: Add '-2.7' to each side of the equation. 2.7 + 3.1x + -2.7 + x2 = 0 + -2.7 Reorder the terms: 2.7 + -2.7 + 3.1x + x2 = 0 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 3.1x + x2 = 0 + -2.7 3.1x + x2 = 0 + -2.7 Combine like terms: 0 + -2.7 = -2.7 3.1x + x2 = -2.7 The x term is 3.1x. Take half its coefficient (1.55). Square it (2.4025) and add it to both sides. Add '2.4025' to each side of the equation. 3.1x + 2.4025 + x2 = -2.7 + 2.4025 Reorder the terms: 2.4025 + 3.1x + x2 = -2.7 + 2.4025 Combine like terms: -2.7 + 2.4025 = -0.2975 2.4025 + 3.1x + x2 = -0.2975 Factor a perfect square on the left side: (x + 1.55)(x + 1.55) = -0.2975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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