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Simplifying 6x2 + 36x + 54 = x Reorder the terms: 54 + 36x + 6x2 = x Solving 54 + 36x + 6x2 = x Solving for variable 'x'. Reorder the terms: 54 + 36x + -1x + 6x2 = x + -1x Combine like terms: 36x + -1x = 35x 54 + 35x + 6x2 = x + -1x Combine like terms: x + -1x = 0 54 + 35x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 9 + 5.833333333x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5.833333333x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 5.833333333x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5.833333333x + x2 = 0 + -9 5.833333333x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 5.833333333x + x2 = -9 The x term is 5.833333333x. Take half its coefficient (2.916666667). Square it (8.506944446) and add it to both sides. Add '8.506944446' to each side of the equation. 5.833333333x + 8.506944446 + x2 = -9 + 8.506944446 Reorder the terms: 8.506944446 + 5.833333333x + x2 = -9 + 8.506944446 Combine like terms: -9 + 8.506944446 = -0.493055554 8.506944446 + 5.833333333x + x2 = -0.493055554 Factor a perfect square on the left side: (x + 2.916666667)(x + 2.916666667) = -0.493055554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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