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Simplifying (x2 + -3x + 9)(x2 + 3x + 9) = 0 Reorder the terms: (9 + -3x + x2)(x2 + 3x + 9) = 0 Reorder the terms: (9 + -3x + x2)(9 + 3x + x2) = 0 Multiply (9 + -3x + x2) * (9 + 3x + x2) (9(9 + 3x + x2) + -3x * (9 + 3x + x2) + x2(9 + 3x + x2)) = 0 ((9 * 9 + 3x * 9 + x2 * 9) + -3x * (9 + 3x + x2) + x2(9 + 3x + x2)) = 0 ((81 + 27x + 9x2) + -3x * (9 + 3x + x2) + x2(9 + 3x + x2)) = 0 (81 + 27x + 9x2 + (9 * -3x + 3x * -3x + x2 * -3x) + x2(9 + 3x + x2)) = 0 (81 + 27x + 9x2 + (-27x + -9x2 + -3x3) + x2(9 + 3x + x2)) = 0 (81 + 27x + 9x2 + -27x + -9x2 + -3x3 + (9 * x2 + 3x * x2 + x2 * x2)) = 0 (81 + 27x + 9x2 + -27x + -9x2 + -3x3 + (9x2 + 3x3 + x4)) = 0 Reorder the terms: (81 + 27x + -27x + 9x2 + -9x2 + 9x2 + -3x3 + 3x3 + x4) = 0 Combine like terms: 27x + -27x = 0 (81 + 0 + 9x2 + -9x2 + 9x2 + -3x3 + 3x3 + x4) = 0 (81 + 9x2 + -9x2 + 9x2 + -3x3 + 3x3 + x4) = 0 Combine like terms: 9x2 + -9x2 = 0 (81 + 0 + 9x2 + -3x3 + 3x3 + x4) = 0 (81 + 9x2 + -3x3 + 3x3 + x4) = 0 Combine like terms: -3x3 + 3x3 = 0 (81 + 9x2 + 0 + x4) = 0 (81 + 9x2 + x4) = 0 Solving 81 + 9x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + 9x2 + -81 + x4 = 0 + -81 Reorder the terms: 81 + -81 + 9x2 + x4 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 9x2 + x4 = 0 + -81 9x2 + x4 = 0 + -81 Combine like terms: 0 + -81 = -81 9x2 + x4 = -81 The x term is 9x2. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x2 + 20.25 + x4 = -81 + 20.25 Reorder the terms: 20.25 + 9x2 + x4 = -81 + 20.25 Combine like terms: -81 + 20.25 = -60.75 20.25 + 9x2 + x4 = -60.75 Factor a perfect square on the left side: (x2 + 4.5)(x2 + 4.5) = -60.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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