(x-y+z)-(2x-3y^2-z)+(x^2+y^2+z^2)=

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Solution for (x-y+z)-(2x-3y^2-z)+(x^2+y^2+z^2)= equation:


Simplifying
(x + -1y + z) + -1(2x + -3y2 + -1z) + (x2 + y2 + z2) = 0

Remove parenthesis around (x + -1y + z)
x + -1y + z + -1(2x + -3y2 + -1z) + (x2 + y2 + z2) = 0
x + -1y + z + (2x * -1 + -3y2 * -1 + -1z * -1) + (x2 + y2 + z2) = 0
x + -1y + z + (-2x + 3y2 + 1z) + (x2 + y2 + z2) = 0

Remove parenthesis around (x2 + y2 + z2)
x + -1y + z + -2x + 3y2 + 1z + x2 + y2 + z2 = 0

Reorder the terms:
x + -2x + x2 + -1y + 3y2 + y2 + z + 1z + z2 = 0

Combine like terms: x + -2x = -1x
-1x + x2 + -1y + 3y2 + y2 + z + 1z + z2 = 0

Combine like terms: 3y2 + y2 = 4y2
-1x + x2 + -1y + 4y2 + z + 1z + z2 = 0

Combine like terms: z + 1z = 2z
-1x + x2 + -1y + 4y2 + 2z + z2 = 0

Solving
-1x + x2 + -1y + 4y2 + 2z + z2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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