x^2+y^2+z^2=15

Simple and best practice solution for x^2+y^2+z^2=15 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^2+y^2+z^2=15 equation:


Simplifying
x2 + y2 + z2 = 15

Solving
x2 + y2 + z2 = 15

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 + z2 = 15 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 + z2 = 15 + -1y2
x2 + z2 = 15 + -1y2

Add '-1z2' to each side of the equation.
x2 + z2 + -1z2 = 15 + -1y2 + -1z2

Combine like terms: z2 + -1z2 = 0
x2 + 0 = 15 + -1y2 + -1z2
x2 = 15 + -1y2 + -1z2

Simplifying
x2 = 15 + -1y2 + -1z2

Reorder the terms:
-15 + x2 + y2 + z2 = 15 + -1y2 + -1z2 + -15 + y2 + z2

Reorder the terms:
-15 + x2 + y2 + z2 = 15 + -15 + -1y2 + y2 + -1z2 + z2

Combine like terms: 15 + -15 = 0
-15 + x2 + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2
-15 + x2 + y2 + z2 = -1y2 + y2 + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-15 + x2 + y2 + z2 = 0 + -1z2 + z2
-15 + x2 + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-15 + x2 + y2 + z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 2x-y+22=1 | | 8n-51=53 | | 8z+2z=9z-3 | | x^8-12x^4=2 | | P=150(n-2)-50n | | cbrt(1-2x)=3 | | (18+t)(-3)+9= | | x=-2-5 | | 4(7x-9)=28x-36 | | 6t-8=6t-64 | | (8xn)-51=53 | | 10p-6p-6=12p-24-8p | | 24x+3y=36 | | 6x+7=6(x+2) | | x=-11-5 | | x+(x+6)=170 | | -5(n+16)-7= | | 16x-12y=16 | | -7=-5m+4(-m+9)-7(7+3m)-25 | | 8ln(x+2)-6lnx= | | 2=-2m-10 | | 30m+10(-3-2m)+10-2(6m-13)=0 | | 2x=81-x | | -x*y=-5 | | -6(4m+1)+7m+9(m-3)+5=4 | | 78.5-23.4+.69= | | 6(4m+1)+7m+9(m-3)+5=4 | | -(7+3x)=-7(x+1) | | x^2-504x-4=0 | | -96=-12y | | -16x-18y=0 | | (x+2)(x+2)=68 |

Equations solver categories