solve(x+2y)*(dx-dy)=dx+dy

Simple and best practice solution for solve(x+2y)*(dx-dy)=dx+dy equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for solve(x+2y)*(dx-dy)=dx+dy equation:


Simplifying
solve(x + 2y)(dx + -1dy) = dx + dy

Multiply (x + 2y) * (dx + -1dy)
elosv(x(dx + -1dy) + 2y * (dx + -1dy)) = dx + dy
elosv((dx * x + -1dy * x) + 2y * (dx + -1dy)) = dx + dy

Reorder the terms:
elosv((-1dxy + dx2) + 2y * (dx + -1dy)) = dx + dy
elosv((-1dxy + dx2) + 2y * (dx + -1dy)) = dx + dy
elosv(-1dxy + dx2 + (dx * 2y + -1dy * 2y)) = dx + dy
elosv(-1dxy + dx2 + (2dxy + -2dy2)) = dx + dy

Reorder the terms:
elosv(-1dxy + 2dxy + dx2 + -2dy2) = dx + dy

Combine like terms: -1dxy + 2dxy = 1dxy
elosv(1dxy + dx2 + -2dy2) = dx + dy
(1dxy * elosv + dx2 * elosv + -2dy2 * elosv) = dx + dy
(1delosvxy + delosvx2 + -2delosvy2) = dx + dy

Solving
1delosvxy + delosvx2 + -2delosvy2 = dx + dy

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1dx' to each side of the equation.
1delosvxy + delosvx2 + -2delosvy2 + -1dx = dx + -1dx + dy

Combine like terms: dx + -1dx = 0
1delosvxy + delosvx2 + -2delosvy2 + -1dx = 0 + dy
1delosvxy + delosvx2 + -2delosvy2 + -1dx = dy

Add '-1dy' to each side of the equation.
1delosvxy + delosvx2 + -2delosvy2 + -1dx + -1dy = dy + -1dy

Combine like terms: dy + -1dy = 0
1delosvxy + delosvx2 + -2delosvy2 + -1dx + -1dy = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(elosvxy + elosvx2 + -2elosvy2 + -1x + -1y) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(elosvxy + elosvx2 + -2elosvy2 + -1x + -1y)' equal to zero and attempt to solve: Simplifying elosvxy + elosvx2 + -2elosvy2 + -1x + -1y = 0 Solving elosvxy + elosvx2 + -2elosvy2 + -1x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1elosvxy' to each side of the equation. elosvxy + elosvx2 + -2elosvy2 + -1x + -1elosvxy + -1y = 0 + -1elosvxy Reorder the terms: elosvxy + -1elosvxy + elosvx2 + -2elosvy2 + -1x + -1y = 0 + -1elosvxy Combine like terms: elosvxy + -1elosvxy = 0 0 + elosvx2 + -2elosvy2 + -1x + -1y = 0 + -1elosvxy elosvx2 + -2elosvy2 + -1x + -1y = 0 + -1elosvxy Remove the zero: elosvx2 + -2elosvy2 + -1x + -1y = -1elosvxy Add '-1elosvx2' to each side of the equation. elosvx2 + -2elosvy2 + -1x + -1elosvx2 + -1y = -1elosvxy + -1elosvx2 Reorder the terms: elosvx2 + -1elosvx2 + -2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 Combine like terms: elosvx2 + -1elosvx2 = 0 0 + -2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 -2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 Add '2elosvy2' to each side of the equation. -2elosvy2 + -1x + 2elosvy2 + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 Reorder the terms: -2elosvy2 + 2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 Combine like terms: -2elosvy2 + 2elosvy2 = 0 0 + -1x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 -1x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 Add 'x' to each side of the equation. -1x + x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 + x Combine like terms: -1x + x = 0 0 + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 + x -1y = -1elosvxy + -1elosvx2 + 2elosvy2 + x Add 'y' to each side of the equation. -1y + y = -1elosvxy + -1elosvx2 + 2elosvy2 + x + y Combine like terms: -1y + y = 0 0 = -1elosvxy + -1elosvx2 + 2elosvy2 + x + y Simplifying 0 = -1elosvxy + -1elosvx2 + 2elosvy2 + x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

d = {0}

See similar equations:

| (n+8)(5n+8)=0 | | lnx=-2.30 | | 2.6+18=2.4n+22 | | 10x/-5=-16 | | 13y+11=-5y+35 | | P(p)-10p+25=0 | | 8-4(x+7)=5(x-6) | | -178+(-345)= | | 2/9x-1/3 | | 9a-3(2a-4)=5 | | (40x)+(15x)=553.90 | | 2cos^2x-5cosx=3 | | 0=-16t^2+36t+5 | | 25*23= | | (2q+5r)(2q-5r)= | | 7[x+2(4-x)]=2x+1 | | c-7=24 | | ln(x+5)-ln(x+2)=4 | | x^(2/3)=8x^(1/3) | | (8+2)*x=78+2 | | (7k+4)(k-2)=0 | | -2(3s-6)-12=-2(6s+7)-2 | | x^2/3=8x^1/3 | | 2x+6(x-3)=2(x+6) | | 1x-2=-3x+2 | | y-12=19 | | (3/4)=j-(1/2) | | 1-2x=-1x-3 | | 35=35 | | (1/z^3)^0 | | 1x+3=-x-5 | | (3x+5).4=32 |

Equations solver categories