3x+2y+6z=0

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Solution for 3x+2y+6z=0 equation:


Simplifying
3x + 2y + 6z = 0

Solving
3x + 2y + 6z = 0

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
3x + 2y + -2y + 6z = 0 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 + 6z = 0 + -2y
3x + 6z = 0 + -2y
Remove the zero:
3x + 6z = -2y

Add '-6z' to each side of the equation.
3x + 6z + -6z = -2y + -6z

Combine like terms: 6z + -6z = 0
3x + 0 = -2y + -6z
3x = -2y + -6z

Divide each side by '3'.
x = -0.6666666667y + -2z

Simplifying
x = -0.6666666667y + -2z

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