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Simplifying (2x + y + -1) * dx + (x + -2y + 1) * dy = 0 Reorder the terms: (-1 + 2x + y) * dx + (x + -2y + 1) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + 2x + y) + (x + -2y + 1) * dy = 0 (-1 * dx + 2x * dx + y * dx) + (x + -2y + 1) * dy = 0 Reorder the terms: (-1dx + dxy + 2dx2) + (x + -2y + 1) * dy = 0 (-1dx + dxy + 2dx2) + (x + -2y + 1) * dy = 0 Reorder the terms: -1dx + dxy + 2dx2 + (1 + x + -2y) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxy + 2dx2 + dy(1 + x + -2y) = 0 -1dx + dxy + 2dx2 + (1 * dy + x * dy + -2y * dy) = 0 Reorder the terms: -1dx + dxy + 2dx2 + (dxy + 1dy + -2dy2) = 0 -1dx + dxy + 2dx2 + (dxy + 1dy + -2dy2) = 0 Reorder the terms: -1dx + dxy + dxy + 2dx2 + 1dy + -2dy2 = 0 Combine like terms: dxy + dxy = 2dxy -1dx + 2dxy + 2dx2 + 1dy + -2dy2 = 0 Solving -1dx + 2dxy + 2dx2 + 1dy + -2dy2 = 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(-1x + 2xy + 2x2 + y + -2y2) = 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 '(-1x + 2xy + 2x2 + y + -2y2)' equal to zero and attempt to solve: Simplifying -1x + 2xy + 2x2 + y + -2y2 = 0 Solving -1x + 2xy + 2x2 + y + -2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 2xy + 2x2 + y + x + -2y2 = 0 + x Reorder the terms: -1x + x + 2xy + 2x2 + y + -2y2 = 0 + x Combine like terms: -1x + x = 0 0 + 2xy + 2x2 + y + -2y2 = 0 + x 2xy + 2x2 + y + -2y2 = 0 + x Remove the zero: 2xy + 2x2 + y + -2y2 = x Add '-2xy' to each side of the equation. 2xy + 2x2 + y + -2xy + -2y2 = x + -2xy Reorder the terms: 2xy + -2xy + 2x2 + y + -2y2 = x + -2xy Combine like terms: 2xy + -2xy = 0 0 + 2x2 + y + -2y2 = x + -2xy 2x2 + y + -2y2 = x + -2xy Add '-2x2' to each side of the equation. 2x2 + y + -2x2 + -2y2 = x + -2xy + -2x2 Reorder the terms: 2x2 + -2x2 + y + -2y2 = x + -2xy + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + y + -2y2 = x + -2xy + -2x2 y + -2y2 = x + -2xy + -2x2 Add '-1y' to each side of the equation. y + -1y + -2y2 = x + -2xy + -2x2 + -1y Combine like terms: y + -1y = 0 0 + -2y2 = x + -2xy + -2x2 + -1y -2y2 = x + -2xy + -2x2 + -1y Add '2y2' to each side of the equation. -2y2 + 2y2 = x + -2xy + -2x2 + -1y + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = x + -2xy + -2x2 + -1y + 2y2 Simplifying 0 = x + -2xy + -2x2 + -1y + 2y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
| 6-4[4-(4y-3)]= | | 84=9(8)+y | | x^2+10x+24=(a+x)(b+x) | | n/-3=2 | | 84=9x+(-x+20) | | 38=3(12)+y | | 38=3x+(-x+14) | | 300=0.04s | | 29=7x+(-x+11) | | n-17=8 | | -x+9=-6x+44 | | 6=-6x+40 | | 2=-7x+20 | | 3/10x3/10 | | 8x-10=-7x+20 | | -6x+40=7x-38 | | m/5-2=4 | | 3=-16t^2-26t | | 2s+6=s+3 | | a^2-16a+130=0 | | w/9=-2 | | 4x^5-10x^3=0 | | 3(2h+3)=63 | | 5.1x-6=4.1x-6 | | 0.25×2/7 | | 6(5h-2)=48 | | 30+30=3030 | | 10(2x+4)=100 | | 20*x*x=240 | | 10m+300=12 | | 100=0.04s | | a=5x+179 |