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Simplifying (3x + 2)(3x + 2) = x Reorder the terms: (2 + 3x)(3x + 2) = x Reorder the terms: (2 + 3x)(2 + 3x) = x Multiply (2 + 3x) * (2 + 3x) (2(2 + 3x) + 3x * (2 + 3x)) = x ((2 * 2 + 3x * 2) + 3x * (2 + 3x)) = x ((4 + 6x) + 3x * (2 + 3x)) = x (4 + 6x + (2 * 3x + 3x * 3x)) = x (4 + 6x + (6x + 9x2)) = x Combine like terms: 6x + 6x = 12x (4 + 12x + 9x2) = x Solving 4 + 12x + 9x2 = x Solving for variable 'x'. Reorder the terms: 4 + 12x + -1x + 9x2 = x + -1x Combine like terms: 12x + -1x = 11x 4 + 11x + 9x2 = x + -1x Combine like terms: x + -1x = 0 4 + 11x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + 1.222222222x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 1.222222222x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 1.222222222x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 1.222222222x + x2 = 0 + -0.4444444444 1.222222222x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 1.222222222x + x2 = -0.4444444444 The x term is 1.222222222x. Take half its coefficient (0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. 1.222222222x + 0.3734567900 + x2 = -0.4444444444 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222x + x2 = -0.4444444444 + 0.3734567900 Combine like terms: -0.4444444444 + 0.3734567900 = -0.0709876544 0.3734567900 + 1.222222222x + x2 = -0.0709876544 Factor a perfect square on the left side: (x + 0.611111111)(x + 0.611111111) = -0.0709876544 Can't calculate square root of the right side. The solution to this equation could not be determined.
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