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Simplifying 27x2 + 10x + 27 = 0 Reorder the terms: 27 + 10x + 27x2 = 0 Solving 27 + 10x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 1 + 0.3703703704x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.3703703704x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.3703703704x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.3703703704x + x2 = 0 + -1 0.3703703704x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.3703703704x + x2 = -1 The x term is 0.3703703704x. Take half its coefficient (0.1851851852). Square it (0.03429355282) and add it to both sides. Add '0.03429355282' to each side of the equation. 0.3703703704x + 0.03429355282 + x2 = -1 + 0.03429355282 Reorder the terms: 0.03429355282 + 0.3703703704x + x2 = -1 + 0.03429355282 Combine like terms: -1 + 0.03429355282 = -0.96570644718 0.03429355282 + 0.3703703704x + x2 = -0.96570644718 Factor a perfect square on the left side: (x + 0.1851851852)(x + 0.1851851852) = -0.96570644718 Can't calculate square root of the right side. The solution to this equation could not be determined.
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