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Simplifying 9x2 + 23x + 82 = 0 Reorder the terms: 82 + 23x + 9x2 = 0 Solving 82 + 23x + 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 + 2.555555556x + x2 = 0 Move the constant term to the right: Add '-9.111111111' to each side of the equation. 9.111111111 + 2.555555556x + -9.111111111 + x2 = 0 + -9.111111111 Reorder the terms: 9.111111111 + -9.111111111 + 2.555555556x + x2 = 0 + -9.111111111 Combine like terms: 9.111111111 + -9.111111111 = 0.000000000 0.000000000 + 2.555555556x + x2 = 0 + -9.111111111 2.555555556x + x2 = 0 + -9.111111111 Combine like terms: 0 + -9.111111111 = -9.111111111 2.555555556x + x2 = -9.111111111 The x term is 2.555555556x. Take half its coefficient (1.277777778). Square it (1.632716050) and add it to both sides. Add '1.632716050' to each side of the equation. 2.555555556x + 1.632716050 + x2 = -9.111111111 + 1.632716050 Reorder the terms: 1.632716050 + 2.555555556x + x2 = -9.111111111 + 1.632716050 Combine like terms: -9.111111111 + 1.632716050 = -7.478395061 1.632716050 + 2.555555556x + x2 = -7.478395061 Factor a perfect square on the left side: (x + 1.277777778)(x + 1.277777778) = -7.478395061 Can't calculate square root of the right side. The solution to this equation could not be determined.
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