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Simplifying (2x + y + z + 4) * dx + -1(2x + y + -6) * dy = 0 Reorder the terms: (4 + 2x + y + z) * dx + -1(2x + y + -6) * dy = 0 Reorder the terms for easier multiplication: dx(4 + 2x + y + z) + -1(2x + y + -6) * dy = 0 (4 * dx + 2x * dx + y * dx + z * dx) + -1(2x + y + -6) * dy = 0 Reorder the terms: (4dx + dxy + dxz + 2dx2) + -1(2x + y + -6) * dy = 0 (4dx + dxy + dxz + 2dx2) + -1(2x + y + -6) * dy = 0 Reorder the terms: 4dx + dxy + dxz + 2dx2 + -1(-6 + 2x + y) * dy = 0 Reorder the terms for easier multiplication: 4dx + dxy + dxz + 2dx2 + -1dy(-6 + 2x + y) = 0 4dx + dxy + dxz + 2dx2 + (-6 * -1dy + 2x * -1dy + y * -1dy) = 0 Reorder the terms: 4dx + dxy + dxz + 2dx2 + (-2dxy + 6dy + -1dy2) = 0 4dx + dxy + dxz + 2dx2 + (-2dxy + 6dy + -1dy2) = 0 Reorder the terms: 4dx + dxy + -2dxy + dxz + 2dx2 + 6dy + -1dy2 = 0 Combine like terms: dxy + -2dxy = -1dxy 4dx + -1dxy + dxz + 2dx2 + 6dy + -1dy2 = 0 Solving 4dx + -1dxy + dxz + 2dx2 + 6dy + -1dy2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'd'. d(4x + -1xy + xz + 2x2 + 6y + -1y2) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(4x + -1xy + xz + 2x2 + 6y + -1y2)' equal to zero and attempt to solve: Simplifying 4x + -1xy + xz + 2x2 + 6y + -1y2 = 0 Solving 4x + -1xy + xz + 2x2 + 6y + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -1xy + xz + 2x2 + 6y + -4x + -1y2 = 0 + -4x Reorder the terms: 4x + -4x + -1xy + xz + 2x2 + 6y + -1y2 = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -1xy + xz + 2x2 + 6y + -1y2 = 0 + -4x -1xy + xz + 2x2 + 6y + -1y2 = 0 + -4x Remove the zero: -1xy + xz + 2x2 + 6y + -1y2 = -4x Add 'xy' to each side of the equation. -1xy + xz + 2x2 + 6y + xy + -1y2 = -4x + xy Reorder the terms: -1xy + xy + xz + 2x2 + 6y + -1y2 = -4x + xy Combine like terms: -1xy + xy = 0 0 + xz + 2x2 + 6y + -1y2 = -4x + xy xz + 2x2 + 6y + -1y2 = -4x + xy Add '-1xz' to each side of the equation. xz + 2x2 + 6y + -1xz + -1y2 = -4x + xy + -1xz Reorder the terms: xz + -1xz + 2x2 + 6y + -1y2 = -4x + xy + -1xz Combine like terms: xz + -1xz = 0 0 + 2x2 + 6y + -1y2 = -4x + xy + -1xz 2x2 + 6y + -1y2 = -4x + xy + -1xz Add '-2x2' to each side of the equation. 2x2 + 6y + -2x2 + -1y2 = -4x + xy + -1xz + -2x2 Reorder the terms: 2x2 + -2x2 + 6y + -1y2 = -4x + xy + -1xz + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + 6y + -1y2 = -4x + xy + -1xz + -2x2 6y + -1y2 = -4x + xy + -1xz + -2x2 Add '-6y' to each side of the equation. 6y + -6y + -1y2 = -4x + xy + -1xz + -2x2 + -6y Combine like terms: 6y + -6y = 0 0 + -1y2 = -4x + xy + -1xz + -2x2 + -6y -1y2 = -4x + xy + -1xz + -2x2 + -6y Add 'y2' to each side of the equation. -1y2 + y2 = -4x + xy + -1xz + -2x2 + -6y + y2 Combine like terms: -1y2 + y2 = 0 0 = -4x + xy + -1xz + -2x2 + -6y + y2 Simplifying 0 = -4x + xy + -1xz + -2x2 + -6y + y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
| 3(2x+5y)(2x-5y)= | | 3z+x=45 | | -10+6m-6=8m-40 | | 3xln(x-7x)=0 | | -9/2a=36 | | 9/x-4=1 | | 9Overx-4=1 | | -50/-5= | | 35x+40=145 | | 8x-18=60+6x | | 1/cot^2x=4/3 | | 18x-(8x-6)=96 | | 5n+8=83 | | 2.1=u+7.9 | | 7(v-8)=3v-36 | | 21-4x=-3 | | 5(2n+1)=6(9n+1)+6 | | f(x)=1/x^2 | | 7-4x=x-15 | | 5(2n+1)=6(9n+1)6 | | 18=5-(x+8) | | x/6=70/20 | | 5(x+2)+2=-28 | | 8y+5=17 | | (3x^2-2)^1/4=x | | 5(2n+1)=5(9n+1)+6 | | 4=m+15 | | X+2=-6x-6 | | 0.5m+6.4=-4.9-0.1m | | Log[3](8x+9)=4 | | 10x-3=52-15x | | 640+32(x-40)=864 |