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Simplifying 15(x2 + y2)(x2 + y2) = 289(x2 + -1y2) Multiply (x2 + y2) * (x2 + y2) 15(x2(x2 + y2) + y2(x2 + y2)) = 289(x2 + -1y2) 15((x2 * x2 + y2 * x2) + y2(x2 + y2)) = 289(x2 + -1y2) Reorder the terms: 15((x2y2 + x4) + y2(x2 + y2)) = 289(x2 + -1y2) 15((x2y2 + x4) + y2(x2 + y2)) = 289(x2 + -1y2) 15(x2y2 + x4 + (x2 * y2 + y2 * y2)) = 289(x2 + -1y2) 15(x2y2 + x4 + (x2y2 + y4)) = 289(x2 + -1y2) Reorder the terms: 15(x2y2 + x2y2 + x4 + y4) = 289(x2 + -1y2) Combine like terms: x2y2 + x2y2 = 2x2y2 15(2x2y2 + x4 + y4) = 289(x2 + -1y2) (2x2y2 * 15 + x4 * 15 + y4 * 15) = 289(x2 + -1y2) (30x2y2 + 15x4 + 15y4) = 289(x2 + -1y2) 30x2y2 + 15x4 + 15y4 = (x2 * 289 + -1y2 * 289) 30x2y2 + 15x4 + 15y4 = (289x2 + -289y2) Solving 30x2y2 + 15x4 + 15y4 = 289x2 + -289y2 Solving for variable 'x'. Reorder the terms: -289x2 + 30x2y2 + 15x4 + 289y2 + 15y4 = 289x2 + -289y2 + -289x2 + 289y2 Reorder the terms: -289x2 + 30x2y2 + 15x4 + 289y2 + 15y4 = 289x2 + -289x2 + -289y2 + 289y2 Combine like terms: 289x2 + -289x2 = 0 -289x2 + 30x2y2 + 15x4 + 289y2 + 15y4 = 0 + -289y2 + 289y2 -289x2 + 30x2y2 + 15x4 + 289y2 + 15y4 = -289y2 + 289y2 Combine like terms: -289y2 + 289y2 = 0 -289x2 + 30x2y2 + 15x4 + 289y2 + 15y4 = 0 The solution to this equation could not be determined.
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