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Simplifying (9x)(9x) + 31x + 30 = 0 Remove parenthesis around (9x) 9x(9x) + 31x + 30 = 0 Remove parenthesis around (9x) 9x * 9x + 31x + 30 = 0 Reorder the terms for easier multiplication: 9 * 9x * x + 31x + 30 = 0 Multiply 9 * 9 81x * x + 31x + 30 = 0 Multiply x * x 81x2 + 31x + 30 = 0 Reorder the terms: 30 + 31x + 81x2 = 0 Solving 30 + 31x + 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'. 0.3703703704 + 0.3827160494x + x2 = 0 Move the constant term to the right: Add '-0.3703703704' to each side of the equation. 0.3703703704 + 0.3827160494x + -0.3703703704 + x2 = 0 + -0.3703703704 Reorder the terms: 0.3703703704 + -0.3703703704 + 0.3827160494x + x2 = 0 + -0.3703703704 Combine like terms: 0.3703703704 + -0.3703703704 = 0.0000000000 0.0000000000 + 0.3827160494x + x2 = 0 + -0.3703703704 0.3827160494x + x2 = 0 + -0.3703703704 Combine like terms: 0 + -0.3703703704 = -0.3703703704 0.3827160494x + x2 = -0.3703703704 The x term is 0.3827160494x. Take half its coefficient (0.1913580247). Square it (0.03661789362) and add it to both sides. Add '0.03661789362' to each side of the equation. 0.3827160494x + 0.03661789362 + x2 = -0.3703703704 + 0.03661789362 Reorder the terms: 0.03661789362 + 0.3827160494x + x2 = -0.3703703704 + 0.03661789362 Combine like terms: -0.3703703704 + 0.03661789362 = -0.33375247678 0.03661789362 + 0.3827160494x + x2 = -0.33375247678 Factor a perfect square on the left side: (x + 0.1913580247)(x + 0.1913580247) = -0.33375247678 Can't calculate square root of the right side. The solution to this equation could not be determined.
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