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Simplifying 9x2 + 36x + 85 = 0 Reorder the terms: 85 + 36x + 9x2 = 0 Solving 85 + 36x + 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'. 9.444444444 + 4x + x2 = 0 Move the constant term to the right: Add '-9.444444444' to each side of the equation. 9.444444444 + 4x + -9.444444444 + x2 = 0 + -9.444444444 Reorder the terms: 9.444444444 + -9.444444444 + 4x + x2 = 0 + -9.444444444 Combine like terms: 9.444444444 + -9.444444444 = 0.000000000 0.000000000 + 4x + x2 = 0 + -9.444444444 4x + x2 = 0 + -9.444444444 Combine like terms: 0 + -9.444444444 = -9.444444444 4x + x2 = -9.444444444 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -9.444444444 + 4 Reorder the terms: 4 + 4x + x2 = -9.444444444 + 4 Combine like terms: -9.444444444 + 4 = -5.444444444 4 + 4x + x2 = -5.444444444 Factor a perfect square on the left side: (x + 2)(x + 2) = -5.444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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