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Simplifying 9x2 + 41x + 204 = 0 Reorder the terms: 204 + 41x + 9x2 = 0 Solving 204 + 41x + 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'. 22.66666667 + 4.555555556x + x2 = 0 Move the constant term to the right: Add '-22.66666667' to each side of the equation. 22.66666667 + 4.555555556x + -22.66666667 + x2 = 0 + -22.66666667 Reorder the terms: 22.66666667 + -22.66666667 + 4.555555556x + x2 = 0 + -22.66666667 Combine like terms: 22.66666667 + -22.66666667 = 0.00000000 0.00000000 + 4.555555556x + x2 = 0 + -22.66666667 4.555555556x + x2 = 0 + -22.66666667 Combine like terms: 0 + -22.66666667 = -22.66666667 4.555555556x + x2 = -22.66666667 The x term is 4.555555556x. Take half its coefficient (2.277777778). Square it (5.188271606) and add it to both sides. Add '5.188271606' to each side of the equation. 4.555555556x + 5.188271606 + x2 = -22.66666667 + 5.188271606 Reorder the terms: 5.188271606 + 4.555555556x + x2 = -22.66666667 + 5.188271606 Combine like terms: -22.66666667 + 5.188271606 = -17.478395064 5.188271606 + 4.555555556x + x2 = -17.478395064 Factor a perfect square on the left side: (x + 2.277777778)(x + 2.277777778) = -17.478395064 Can't calculate square root of the right side. The solution to this equation could not be determined.
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