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Simplifying (x2 + 3)(x2 + 3) = -3 Reorder the terms: (3 + x2)(x2 + 3) = -3 Reorder the terms: (3 + x2)(3 + x2) = -3 Multiply (3 + x2) * (3 + x2) (3(3 + x2) + x2(3 + x2)) = -3 ((3 * 3 + x2 * 3) + x2(3 + x2)) = -3 ((9 + 3x2) + x2(3 + x2)) = -3 (9 + 3x2 + (3 * x2 + x2 * x2)) = -3 (9 + 3x2 + (3x2 + x4)) = -3 Combine like terms: 3x2 + 3x2 = 6x2 (9 + 6x2 + x4) = -3 Solving 9 + 6x2 + x4 = -3 Solving for variable 'x'. Reorder the terms: 9 + 3 + 6x2 + x4 = -3 + 3 Combine like terms: 9 + 3 = 12 12 + 6x2 + x4 = -3 + 3 Combine like terms: -3 + 3 = 0 12 + 6x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 6x2 + -12 + x4 = 0 + -12 Reorder the terms: 12 + -12 + 6x2 + x4 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x2 + x4 = 0 + -12 6x2 + x4 = 0 + -12 Combine like terms: 0 + -12 = -12 6x2 + x4 = -12 The x term is 6x2. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x2 + 9 + x4 = -12 + 9 Reorder the terms: 9 + 6x2 + x4 = -12 + 9 Combine like terms: -12 + 9 = -3 9 + 6x2 + x4 = -3 Factor a perfect square on the left side: (x2 + 3)(x2 + 3) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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