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Simplifying (x + y + -1) * dx + (2x + 2y + -3) * dy = 0 Reorder the terms: (-1 + x + y) * dx + (2x + 2y + -3) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + x + y) + (2x + 2y + -3) * dy = 0 (-1 * dx + x * dx + y * dx) + (2x + 2y + -3) * dy = 0 Reorder the terms: (-1dx + dxy + dx2) + (2x + 2y + -3) * dy = 0 (-1dx + dxy + dx2) + (2x + 2y + -3) * dy = 0 Reorder the terms: -1dx + dxy + dx2 + (-3 + 2x + 2y) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxy + dx2 + dy(-3 + 2x + 2y) = 0 -1dx + dxy + dx2 + (-3 * dy + 2x * dy + 2y * dy) = 0 Reorder the terms: -1dx + dxy + dx2 + (2dxy + -3dy + 2dy2) = 0 -1dx + dxy + dx2 + (2dxy + -3dy + 2dy2) = 0 Reorder the terms: -1dx + dxy + 2dxy + dx2 + -3dy + 2dy2 = 0 Combine like terms: dxy + 2dxy = 3dxy -1dx + 3dxy + dx2 + -3dy + 2dy2 = 0 Solving -1dx + 3dxy + dx2 + -3dy + 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 + 3xy + x2 + -3y + 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 + 3xy + x2 + -3y + 2y2)' equal to zero and attempt to solve: Simplifying -1x + 3xy + x2 + -3y + 2y2 = 0 Solving -1x + 3xy + x2 + -3y + 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 + 3xy + x2 + -3y + x + 2y2 = 0 + x Reorder the terms: -1x + x + 3xy + x2 + -3y + 2y2 = 0 + x Combine like terms: -1x + x = 0 0 + 3xy + x2 + -3y + 2y2 = 0 + x 3xy + x2 + -3y + 2y2 = 0 + x Remove the zero: 3xy + x2 + -3y + 2y2 = x Add '-3xy' to each side of the equation. 3xy + x2 + -3y + -3xy + 2y2 = x + -3xy Reorder the terms: 3xy + -3xy + x2 + -3y + 2y2 = x + -3xy Combine like terms: 3xy + -3xy = 0 0 + x2 + -3y + 2y2 = x + -3xy x2 + -3y + 2y2 = x + -3xy Add '-1x2' to each side of the equation. x2 + -3y + -1x2 + 2y2 = x + -3xy + -1x2 Reorder the terms: x2 + -1x2 + -3y + 2y2 = x + -3xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -3y + 2y2 = x + -3xy + -1x2 -3y + 2y2 = x + -3xy + -1x2 Add '3y' to each side of the equation. -3y + 3y + 2y2 = x + -3xy + -1x2 + 3y Combine like terms: -3y + 3y = 0 0 + 2y2 = x + -3xy + -1x2 + 3y 2y2 = x + -3xy + -1x2 + 3y Add '-2y2' to each side of the equation. 2y2 + -2y2 = x + -3xy + -1x2 + 3y + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = x + -3xy + -1x2 + 3y + -2y2 Simplifying 0 = x + -3xy + -1x2 + 3y + -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}
| 2(x*9)+2(x*5)=68 | | X+14+3x=98 | | 5y-4n= | | -5a=150 | | 5x+4(4x-12)=57 | | -2z+(-4)=-14 | | 4(2+x)+1= | | 4v-11=29 | | 0.25x^5-2x^3+2x=0 | | y-7.8=12 | | -6-d=30 | | 7(z+7)-(2+8z)=-2z | | 12x-1=x^2+36 | | (0.30)15+(0.05)x=0.20(15+x) | | x/6=x/7-4 | | -(7-4a)-(17+3a)-17=-(8-7a)+(-a)+7 | | 9(a+7)=87.3 | | -10+-7.2= | | .65(-y+25)+.40y=350 | | 104=(360-x)-x | | 6-1/x-9/x^2=0 | | D+6=30 | | 6-1/x-9/x^2 | | 0.3m-5=f | | y=7+100 | | 9e-1=4.4 | | 7x+2(x+6)=6 | | 6-20x-18=27-7x | | 2p=15.4 | | 10x-7x+x=1 | | -k=9k-90 | | 1/2x^2-1/14x-13/7 |