x^2+y^2+z^2=7(x+y+z)

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Solution for x^2+y^2+z^2=7(x+y+z) equation:


Simplifying
x2 + y2 + z2 = 7(x + y + z)
x2 + y2 + z2 = (x * 7 + y * 7 + z * 7)
x2 + y2 + z2 = (7x + 7y + 7z)

Solving
x2 + y2 + z2 = 7x + 7y + 7z

Solving for variable 'x'.

Reorder the terms:
-7x + x2 + -7y + y2 + -7z + z2 = 7x + 7y + 7z + -7x + -7y + -7z

Reorder the terms:
-7x + x2 + -7y + y2 + -7z + z2 = 7x + -7x + 7y + -7y + 7z + -7z

Combine like terms: 7x + -7x = 0
-7x + x2 + -7y + y2 + -7z + z2 = 0 + 7y + -7y + 7z + -7z
-7x + x2 + -7y + y2 + -7z + z2 = 7y + -7y + 7z + -7z

Combine like terms: 7y + -7y = 0
-7x + x2 + -7y + y2 + -7z + z2 = 0 + 7z + -7z
-7x + x2 + -7y + y2 + -7z + z2 = 7z + -7z

Combine like terms: 7z + -7z = 0
-7x + x2 + -7y + y2 + -7z + z2 = 0

The solution to this equation could not be determined.

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