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Simplifying x(x + 4) * x(x + 2) = 2 * 2 + 12 Reorder the terms: x(4 + x) * x(x + 2) = 2 * 2 + 12 Reorder the terms: x(4 + x) * x(2 + x) = 2 * 2 + 12 Reorder the terms for easier multiplication: x * x(4 + x)(2 + x) = 2 * 2 + 12 Multiply x * x x2(4 + x)(2 + x) = 2 * 2 + 12 Multiply (4 + x) * (2 + x) x2(4(2 + x) + x(2 + x)) = 2 * 2 + 12 x2((2 * 4 + x * 4) + x(2 + x)) = 2 * 2 + 12 x2((8 + 4x) + x(2 + x)) = 2 * 2 + 12 x2(8 + 4x + (2 * x + x * x)) = 2 * 2 + 12 x2(8 + 4x + (2x + x2)) = 2 * 2 + 12 Combine like terms: 4x + 2x = 6x x2(8 + 6x + x2) = 2 * 2 + 12 (8 * x2 + 6x * x2 + x2 * x2) = 2 * 2 + 12 (8x2 + 6x3 + x4) = 2 * 2 + 12 Multiply 2 * 2 8x2 + 6x3 + x4 = 4 + 12 Combine like terms: 4 + 12 = 16 8x2 + 6x3 + x4 = 16 Solving 8x2 + 6x3 + x4 = 16 Solving for variable 'x'. Reorder the terms: -16 + 8x2 + 6x3 + x4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 8x2 + 6x3 + x4 = 0 The solution to this equation could not be determined.
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