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Simplifying 9x2 + -54x + 82 = 0 Reorder the terms: 82 + -54x + 9x2 = 0 Solving 82 + -54x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 9.111111111 + -6x + x2 = 0 Move the constant term to the right: Add '-9.111111111' to each side of the equation. 9.111111111 + -6x + -9.111111111 + x2 = 0 + -9.111111111 Reorder the terms: 9.111111111 + -9.111111111 + -6x + x2 = 0 + -9.111111111 Combine like terms: 9.111111111 + -9.111111111 = 0.000000000 0.000000000 + -6x + x2 = 0 + -9.111111111 -6x + x2 = 0 + -9.111111111 Combine like terms: 0 + -9.111111111 = -9.111111111 -6x + x2 = -9.111111111 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -9.111111111 + 9 Reorder the terms: 9 + -6x + x2 = -9.111111111 + 9 Combine like terms: -9.111111111 + 9 = -0.111111111 9 + -6x + x2 = -0.111111111 Factor a perfect square on the left side: (x + -3)(x + -3) = -0.111111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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