1.00701051577(x^2-y^2-z^2+xy)=x^2+3y^2+3z^2-3xy-2xz-2yz

Simple and best practice solution for 1.00701051577(x^2-y^2-z^2+xy)=x^2+3y^2+3z^2-3xy-2xz-2yz 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 h

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

Solution for 1.00701051577(x^2-y^2-z^2+xy)=x^2+3y^2+3z^2-3xy-2xz-2yz equation: 


Simplifying
1.00701051577(x2 + -1y2 + -1z2 + xy) = x2 + 3y2 + 3z2 + -3xy + -2xz + -2yz

Reorder the terms:
1.00701051577(xy + x2 + -1y2 + -1z2) = x2 + 3y2 + 3z2 + -3xy + -2xz + -2yz
(xy * 1.00701051577 + x2 * 1.00701051577 + -1y2 * 1.00701051577 + -1z2 * 1.00701051577) = x2 + 3y2 + 3z2 + -3xy + -2xz + -2yz
(1.00701051577xy + 1.00701051577x2 + -1.007010516y2 + -1.007010516z2) = x2 + 3y2 + 3z2 + -3xy + -2xz + -2yz

Reorder the terms:
1.00701051577xy + 1.00701051577x2 + -1.007010516y2 + -1.007010516z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2

Solving
1.00701051577xy + 1.00701051577x2 + -1.007010516y2 + -1.007010516z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2

Solving for variable 'x'.

Reorder the terms:
1.00701051577xy + 3xy + 2xz + 1.00701051577x2 + -1x2 + 2yz + -1.007010516y2 + -3y2 + -1.007010516z2 + -3z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2 + 3xy + 2xz + -1x2 + 2yz + -3y2 + -3z2

Combine like terms: 1.00701051577xy + 3xy = 4.00701051577xy
4.00701051577xy + 2xz + 1.00701051577x2 + -1x2 + 2yz + -1.007010516y2 + -3y2 + -1.007010516z2 + -3z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2 + 3xy + 2xz + -1x2 + 2yz + -3y2 + -3z2

Combine like terms: 1.00701051577x2 + -1x2 = 0.00701051577x2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -1.007010516y2 + -3y2 + -1.007010516z2 + -3z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2 + 3xy + 2xz + -1x2 + 2yz + -3y2 + -3z2

Combine like terms: -1.007010516y2 + -3y2 = -4.007010516y2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -1.007010516z2 + -3z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2 + 3xy + 2xz + -1x2 + 2yz + -3y2 + -3z2

Combine like terms: -1.007010516z2 + -3z2 = -4.007010516z2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = -3xy + -2xz + x2 + -2yz + 3y2 + 3z2 + 3xy + 2xz + -1x2 + 2yz + -3y2 + -3z2

Reorder the terms:
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = -3xy + 3xy + -2xz + 2xz + x2 + -1x2 + -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2

Combine like terms: -3xy + 3xy = 0
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 0 + -2xz + 2xz + x2 + -1x2 + -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = -2xz + 2xz + x2 + -1x2 + -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2

Combine like terms: -2xz + 2xz = 0
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 0 + x2 + -1x2 + -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = x2 + -1x2 + -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2

Combine like terms: x2 + -1x2 = 0
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 0 + -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = -2yz + 2yz + 3y2 + -3y2 + 3z2 + -3z2

Combine like terms: -2yz + 2yz = 0
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 0 + 3y2 + -3y2 + 3z2 + -3z2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 3y2 + -3y2 + 3z2 + -3z2

Combine like terms: 3y2 + -3y2 = 0
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 0 + 3z2 + -3z2
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 3z2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
4.00701051577xy + 2xz + 0.00701051577x2 + 2yz + -4.007010516y2 + -4.007010516z2 = 0

The solution to this equation could not be determined.

See similar equations:

| (1/18)-(5/12) | | (1/18)-(5-12) | | -2+10x=13 | | 8(x-2)+5x=22 | | -5y-4=-19 | | 4x+42=46 | | 11n^2-8n+2=0 | | x+10-3=20 | | Sinx=.512477 | | -1.2x-0.8=-1.6x+3 | | 2A+9B-C+3D+5E+7F=138 | | -4(u-1)=-8u+20 | | A-2B+4C+6D+2E+4F=52 | | -3x+46=-2z+36 | | 2v/5-3wv=40w=10 | | A-B+C-D+E-F=-6 | | 2q+58=4q+50 | | 2s-35=131 | | 1.3h+3.7h=5 | | 50-7k=24 | | 0.8c+9=8(0.6c-2) | | 6(k+4)=3k-12 | | -2x=3x+3 | | 5z-96z+2z+4=12z-156 | | 4x+1=.15 | | 12b+3whenb=-4 | | 1/3=954/s | | 6c=3(c+4)-c | | 5z-96z+2z+4=2(6z-78) | | 1.8=0.03x-58.32 | | 4x+35x=21x+28 | | 2+4(x-7)=5-4(x-5) |

Equations solver categories