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Simplifying x2 + xiy + iyx + iy2 = x2 + -1y2 + 2ixy Reorder the terms: ixy + ixy + iy2 + x2 = x2 + -1y2 + 2ixy Combine like terms: ixy + ixy = 2ixy 2ixy + iy2 + x2 = x2 + -1y2 + 2ixy Reorder the terms: 2ixy + iy2 + x2 = 2ixy + x2 + -1y2 Add '-2ixy' to each side of the equation. 2ixy + iy2 + -2ixy + x2 = 2ixy + x2 + -2ixy + -1y2 Reorder the terms: 2ixy + -2ixy + iy2 + x2 = 2ixy + x2 + -2ixy + -1y2 Combine like terms: 2ixy + -2ixy = 0 0 + iy2 + x2 = 2ixy + x2 + -2ixy + -1y2 iy2 + x2 = 2ixy + x2 + -2ixy + -1y2 Reorder the terms: iy2 + x2 = 2ixy + -2ixy + x2 + -1y2 Combine like terms: 2ixy + -2ixy = 0 iy2 + x2 = 0 + x2 + -1y2 iy2 + x2 = x2 + -1y2 Add '-1x2' to each side of the equation. iy2 + x2 + -1x2 = x2 + -1x2 + -1y2 Combine like terms: x2 + -1x2 = 0 iy2 + 0 = x2 + -1x2 + -1y2 iy2 = x2 + -1x2 + -1y2 Combine like terms: x2 + -1x2 = 0 iy2 = 0 + -1y2 iy2 = -1y2 Solving iy2 = -1y2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by 'y2'. i = -1 Simplifying i = -1
| x+iy^2=x^2-y^2+2ixy | | 168=13d+45+6 | | 168=13d+45 | | f(x)=x^4+x^3-6x^2 | | 14+196=49k | | 1801500=L(150) | | 4(x-5)-x+7=3x-13 | | -3(2x-1)=4x-3 | | w=3t+11 | | 3x-(4-x)=16 | | 88x-32= | | 16a+12b+5c+3c-6b-6a= | | 11p+15q+p-7p-3p= | | 20x+400=680 | | 400x+20=680 | | 9m+4n-5m+8n= | | 180=x*1.26 | | 7x^2+10x+15=0 | | 17x/2=34/2 | | 5(e+7)=20 | | 3m^2+2m-2=0 | | 180=X+(x*0.26) | | 17x+5=16x-2 | | 4x^2+240x+3600=0 | | y=5+2x-x^2 | | 2.5t+1.75=3.85t | | 2X+3-X=14+5X-7 | | 3(k-5)=2(6-3k) | | (3x-2)(x-3)=26 | | (-2x+3y)-(-5x+y)= | | 29+m=24 | | 13x-7+5x-2=153 |