(X+y+z)(x+y-z)=0

Simple and best practice solution for (X+y+z)(x+y-z)=0 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 (X+y+z)(x+y-z)=0 equation: 


Simplifying
(X + y + z)(x + y + -1z) = 0

Multiply (X + y + z) * (x + y + -1z)
(X(x + y + -1z) + y(x + y + -1z) + z(x + y + -1z)) = 0
((x * X + y * X + -1z * X) + y(x + y + -1z) + z(x + y + -1z)) = 0
((xX + yX + -1zX) + y(x + y + -1z) + z(x + y + -1z)) = 0
(xX + yX + -1zX + (x * y + y * y + -1z * y) + z(x + y + -1z)) = 0

Reorder the terms:
(xX + yX + -1zX + (xy + -1yz + y2) + z(x + y + -1z)) = 0
(xX + yX + -1zX + (xy + -1yz + y2) + z(x + y + -1z)) = 0
(xX + yX + -1zX + xy + -1yz + y2 + (x * z + y * z + -1z * z)) = 0
(xX + yX + -1zX + xy + -1yz + y2 + (xz + yz + -1z2)) = 0

Reorder the terms:
(xX + xy + xz + yX + -1yz + yz + y2 + -1zX + -1z2) = 0

Combine like terms: -1yz + yz = 0
(xX + xy + xz + yX + 0 + y2 + -1zX + -1z2) = 0
(xX + xy + xz + yX + y2 + -1zX + -1z2) = 0

Solving
xX + xy + xz + yX + y2 + -1zX + -1z2 = 0

Solving for variable 'x'.

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

Add '-1yX' to each side of the equation.
xX + xy + xz + yX + y2 + -1zX + -1yX + -1z2 = 0 + -1yX

Reorder the terms:
xX + xy + xz + yX + -1yX + y2 + -1zX + -1z2 = 0 + -1yX

Combine like terms: yX + -1yX = 0
xX + xy + xz + 0 + y2 + -1zX + -1z2 = 0 + -1yX
xX + xy + xz + y2 + -1zX + -1z2 = 0 + -1yX
Remove the zero:
xX + xy + xz + y2 + -1zX + -1z2 = -1yX

Add '-1y2' to each side of the equation.
xX + xy + xz + y2 + -1zX + -1y2 + -1z2 = -1yX + -1y2

Reorder the terms:
xX + xy + xz + y2 + -1y2 + -1zX + -1z2 = -1yX + -1y2

Combine like terms: y2 + -1y2 = 0
xX + xy + xz + 0 + -1zX + -1z2 = -1yX + -1y2
xX + xy + xz + -1zX + -1z2 = -1yX + -1y2

Add 'zX' to each side of the equation.
xX + xy + xz + -1zX + zX + -1z2 = -1yX + -1y2 + zX

Combine like terms: -1zX + zX = 0
xX + xy + xz + 0 + -1z2 = -1yX + -1y2 + zX
xX + xy + xz + -1z2 = -1yX + -1y2 + zX

Add 'z2' to each side of the equation.
xX + xy + xz + -1z2 + z2 = -1yX + -1y2 + zX + z2

Combine like terms: -1z2 + z2 = 0
xX + xy + xz + 0 = -1yX + -1y2 + zX + z2
xX + xy + xz = -1yX + -1y2 + zX + z2

Reorder the terms:
xX + xy + xz + yX + y2 + -1zX + -1z2 = -1yX + yX + -1y2 + y2 + zX + -1zX + z2 + -1z2

Combine like terms: -1yX + yX = 0
xX + xy + xz + yX + y2 + -1zX + -1z2 = 0 + -1y2 + y2 + zX + -1zX + z2 + -1z2
xX + xy + xz + yX + y2 + -1zX + -1z2 = -1y2 + y2 + zX + -1zX + z2 + -1z2

Combine like terms: -1y2 + y2 = 0
xX + xy + xz + yX + y2 + -1zX + -1z2 = 0 + zX + -1zX + z2 + -1z2
xX + xy + xz + yX + y2 + -1zX + -1z2 = zX + -1zX + z2 + -1z2

Combine like terms: zX + -1zX = 0
xX + xy + xz + yX + y2 + -1zX + -1z2 = 0 + z2 + -1z2
xX + xy + xz + yX + y2 + -1zX + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
xX + xy + xz + yX + y2 + -1zX + -1z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 5x-8y-7=0 | | 16x^2-12x+9=0 | | 2x+40=x-16 | | -4(2y+6)+5y=-21 | | 15-3m=5-5m | | z+3z+2z+150=360 | | 2600=6x-6 | | 5(3y-9)-3y=-21 | | 3(x^2-1)=-8x | | 6b-6=2b+10 | | 5m-2(3m+1)=m-10 | | 9-b=22 | | -10(4-12n)=2n-6(-12n-1) | | -4(2y-3)+3y=-8 | | 7(x-2)=17 | | -6g+28=-7g+7 | | 7x+10=2+5x | | 77(x-2)=42 | | (3x-30)+80+x+90= | | 5(3y+14)-4y=37 | | 18-4k=10+k | | 0.68x+170=334.56 | | -2x+10+3x=-12-x-20 | | 5.5n-4.5n+3.4=-8.8 | | 4x^2+16x+4y^2+28y-335=0 | | 6x-6x=4 | | -12+(-m)=-32 | | 8x+5=3x+16 | | 5x^3-10x^2+4x=0 | | 3x(x+2)=12x | | .25d(d-12)=4 | | (2x-3)+(6x-2)= |

Equations solver categories