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8x+x^(2)-2y=64-y^(2)

8x+x22y=64y2 8 x+x^{2}-2 y=64-y^{2}

Full solution

Q. 8x+x22y=64y2 8 x+x^{2}-2 y=64-y^{2}
  1. Move Terms to One Side: First, let's move all terms to one side of the equation to set it equal to zero.\newline8x+x22y64+y2=08x + x^2 - 2y - 64 + y^2 = 0
  2. Rearrange Terms: Now, let's rearrange the terms to organize them by variable. x2+8x+y22y64=0x^2 + 8x + y^2 - 2y - 64 = 0
  3. Factorization Error: Next, we look for a way to factor by grouping or by finding a common binomial factor. But wait, I made a mistake in the previous step; I should have combined like terms correctly.