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Simplifying (y4x + y2 + 4)(y2 + 8) = 0 Reorder the terms: (4 + xy4 + y2)(y2 + 8) = 0 Reorder the terms: (4 + xy4 + y2)(8 + y2) = 0 Multiply (4 + xy4 + y2) * (8 + y2) (4(8 + y2) + xy4(8 + y2) + y2(8 + y2)) = 0 ((8 * 4 + y2 * 4) + xy4(8 + y2) + y2(8 + y2)) = 0 ((32 + 4y2) + xy4(8 + y2) + y2(8 + y2)) = 0 (32 + 4y2 + (8 * xy4 + y2 * xy4) + y2(8 + y2)) = 0 (32 + 4y2 + (8xy4 + xy6) + y2(8 + y2)) = 0 (32 + 4y2 + 8xy4 + xy6 + (8 * y2 + y2 * y2)) = 0 (32 + 4y2 + 8xy4 + xy6 + (8y2 + y4)) = 0 Reorder the terms: (32 + 8xy4 + xy6 + 4y2 + 8y2 + y4) = 0 Combine like terms: 4y2 + 8y2 = 12y2 (32 + 8xy4 + xy6 + 12y2 + y4) = 0 Solving 32 + 8xy4 + xy6 + 12y2 + y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8xy4 + xy6 + 12y2 + -32 + y4 = 0 + -32 Reorder the terms: 32 + -32 + 8xy4 + xy6 + 12y2 + y4 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8xy4 + xy6 + 12y2 + y4 = 0 + -32 8xy4 + xy6 + 12y2 + y4 = 0 + -32 Combine like terms: 0 + -32 = -32 8xy4 + xy6 + 12y2 + y4 = -32 Add '-12y2' to each side of the equation. 8xy4 + xy6 + 12y2 + -12y2 + y4 = -32 + -12y2 Combine like terms: 12y2 + -12y2 = 0 8xy4 + xy6 + 0 + y4 = -32 + -12y2 8xy4 + xy6 + y4 = -32 + -12y2 Add '-1y4' to each side of the equation. 8xy4 + xy6 + y4 + -1y4 = -32 + -12y2 + -1y4 Combine like terms: y4 + -1y4 = 0 8xy4 + xy6 + 0 = -32 + -12y2 + -1y4 8xy4 + xy6 = -32 + -12y2 + -1y4 Reorder the terms: 32 + 8xy4 + xy6 + 12y2 + y4 = -32 + -12y2 + -1y4 + 32 + 12y2 + y4 Reorder the terms: 32 + 8xy4 + xy6 + 12y2 + y4 = -32 + 32 + -12y2 + 12y2 + -1y4 + y4 Combine like terms: -32 + 32 = 0 32 + 8xy4 + xy6 + 12y2 + y4 = 0 + -12y2 + 12y2 + -1y4 + y4 32 + 8xy4 + xy6 + 12y2 + y4 = -12y2 + 12y2 + -1y4 + y4 Combine like terms: -12y2 + 12y2 = 0 32 + 8xy4 + xy6 + 12y2 + y4 = 0 + -1y4 + y4 32 + 8xy4 + xy6 + 12y2 + y4 = -1y4 + y4 Combine like terms: -1y4 + y4 = 0 32 + 8xy4 + xy6 + 12y2 + y4 = 0 The solution to this equation could not be determined.
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