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Simplifying 27x2 + -10x + 3 = 0 Reorder the terms: 3 + -10x + 27x2 = 0 Solving 3 + -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'. 0.1111111111 + -0.3703703704x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.3703703704x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.3703703704x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.3703703704x + x2 = 0 + -0.1111111111 -0.3703703704x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.3703703704x + x2 = -0.1111111111 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 = -0.1111111111 + 0.03429355282 Reorder the terms: 0.03429355282 + -0.3703703704x + x2 = -0.1111111111 + 0.03429355282 Combine like terms: -0.1111111111 + 0.03429355282 = -0.07681755828 0.03429355282 + -0.3703703704x + x2 = -0.07681755828 Factor a perfect square on the left side: (x + -0.1851851852)(x + -0.1851851852) = -0.07681755828 Can't calculate square root of the right side. The solution to this equation could not be determined.
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