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Simplifying 9x * 9x + 21x + 61 = 0 Reorder the terms for easier multiplication: 9 * 9x * x + 21x + 61 = 0 Multiply 9 * 9 81x * x + 21x + 61 = 0 Multiply x * x 81x2 + 21x + 61 = 0 Reorder the terms: 61 + 21x + 81x2 = 0 Solving 61 + 21x + 81x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 81 the coefficient of the squared term: Divide each side by '81'. 0.7530864198 + 0.2592592593x + x2 = 0 Move the constant term to the right: Add '-0.7530864198' to each side of the equation. 0.7530864198 + 0.2592592593x + -0.7530864198 + x2 = 0 + -0.7530864198 Reorder the terms: 0.7530864198 + -0.7530864198 + 0.2592592593x + x2 = 0 + -0.7530864198 Combine like terms: 0.7530864198 + -0.7530864198 = 0.0000000000 0.0000000000 + 0.2592592593x + x2 = 0 + -0.7530864198 0.2592592593x + x2 = 0 + -0.7530864198 Combine like terms: 0 + -0.7530864198 = -0.7530864198 0.2592592593x + x2 = -0.7530864198 The x term is 0.2592592593x. Take half its coefficient (0.1296296297). Square it (0.01680384090) and add it to both sides. Add '0.01680384090' to each side of the equation. 0.2592592593x + 0.01680384090 + x2 = -0.7530864198 + 0.01680384090 Reorder the terms: 0.01680384090 + 0.2592592593x + x2 = -0.7530864198 + 0.01680384090 Combine like terms: -0.7530864198 + 0.01680384090 = -0.7362825789 0.01680384090 + 0.2592592593x + x2 = -0.7362825789 Factor a perfect square on the left side: (x + 0.1296296297)(x + 0.1296296297) = -0.7362825789 Can't calculate square root of the right side. The solution to this equation could not be determined.
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