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Simplifying (k + 1) * x2 + (k + 1) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms: (1 + k) * x2 + (k + 1) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms for easier multiplication: x2(1 + k) + (k + 1) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 (1 * x2 + k * x2) + (k + 1) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms: (kx2 + 1x2) + (k + 1) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 (kx2 + 1x2) + (k + 1) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms: kx2 + 1x2 + (1 + k) * y2 + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms for easier multiplication: kx2 + 1x2 + y2(1 + k) + 2kx + 2ky + 2y + 4k + 3 = 0 kx2 + 1x2 + (1 * y2 + k * y2) + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms: kx2 + 1x2 + (ky2 + 1y2) + 2kx + 2ky + 2y + 4k + 3 = 0 kx2 + 1x2 + (ky2 + 1y2) + 2kx + 2ky + 2y + 4k + 3 = 0 Reorder the terms: 3 + 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + 1y2 = 0 Solving 3 + 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + 1y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + -3 + 1y2 = 0 + -3 Reorder the terms: 3 + -3 + 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + 1y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + 1y2 = 0 + -3 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + 1y2 = 0 + -3 Combine like terms: 0 + -3 = -3 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + 1y2 = -3 Add '-1x2' to each side of the equation. 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + 2y + -1x2 + 1y2 = -3 + -1x2 Reorder the terms: 4k + 2kx + kx2 + 2ky + ky2 + 1x2 + -1x2 + 2y + 1y2 = -3 + -1x2 Combine like terms: 1x2 + -1x2 = 0 4k + 2kx + kx2 + 2ky + ky2 + 0 + 2y + 1y2 = -3 + -1x2 4k + 2kx + kx2 + 2ky + ky2 + 2y + 1y2 = -3 + -1x2 Add '-2y' to each side of the equation. 4k + 2kx + kx2 + 2ky + ky2 + 2y + -2y + 1y2 = -3 + -1x2 + -2y Combine like terms: 2y + -2y = 0 4k + 2kx + kx2 + 2ky + ky2 + 0 + 1y2 = -3 + -1x2 + -2y 4k + 2kx + kx2 + 2ky + ky2 + 1y2 = -3 + -1x2 + -2y Add '-1y2' to each side of the equation. 4k + 2kx + kx2 + 2ky + ky2 + 1y2 + -1y2 = -3 + -1x2 + -2y + -1y2 Combine like terms: 1y2 + -1y2 = 0 4k + 2kx + kx2 + 2ky + ky2 + 0 = -3 + -1x2 + -2y + -1y2 4k + 2kx + kx2 + 2ky + ky2 = -3 + -1x2 + -2y + -1y2 Reorder the terms: 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = -3 + -1x2 + -2y + -1y2 + 3 + x2 + 2y + y2 Reorder the terms: 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = -3 + 3 + -1x2 + x2 + -2y + 2y + -1y2 + y2 Combine like terms: -3 + 3 = 0 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = 0 + -1x2 + x2 + -2y + 2y + -1y2 + y2 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = -1x2 + x2 + -2y + 2y + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = 0 + -2y + 2y + -1y2 + y2 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = -2y + 2y + -1y2 + y2 Combine like terms: -2y + 2y = 0 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = 0 + -1y2 + y2 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 3 + 4k + 2kx + kx2 + 2ky + ky2 + x2 + 2y + y2 = 0 The solution to this equation could not be determined.
| .25x-5+171=x | | 20/12=50/x | | 3(-5)(2)+6(-5)+-5(3(2)-6)= | | 2x+3x+(2+6)=8 | | 7x-2=4x-2 | | y=-2x+16x-24 | | ln(5x-2)-ln(x+3)=2 | | 5(2+p)=17.5 | | 5x+45-89=-90+41 | | 3+2p=7 | | -5(2(2)+7)+2(9)+5(-5)= | | 5(z-1)-20=0 | | Y=2ln(3x-1)-2 | | -10x^2-6x-12=0 | | -4=-8x+2 | | 9(4(-25)-3)= | | ln(x-6)=24 | | 90t=450t | | 9t^2-54=0 | | -24r+6= | | 9(-5)(2)+3(-25)-7(4)+8(-5)(2)-12= | | Y=-8sin(7x) | | 8=2d-12 | | -7x-y+z=-12 | | x-9=.75x | | (5x+5)+(-6x+8)= | | x^2+y^2+18x+12y=11 | | 8b+3=5b+7 | | 3(3x-7)=81(12x-3x) | | 2/12= | | e^7x=10 | | -7(3(-5)-4)+2= |