3x+y(3+y*y)+3z=0

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Solution for 3x+y(3+y*y)+3z=0 equation: 


Simplifying
3x + y(3 + y * y) + 3z = 0

Multiply y * y
3x + y(3 + y2) + 3z = 0
3x + (3 * y + y2 * y) + 3z = 0
3x + (3y + y3) + 3z = 0

Solving
3x + 3y + y3 + 3z = 0

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
3x + 3y + y3 + -3y + 3z = 0 + -3y

Reorder the terms:
3x + 3y + -3y + y3 + 3z = 0 + -3y

Combine like terms: 3y + -3y = 0
3x + 0 + y3 + 3z = 0 + -3y
3x + y3 + 3z = 0 + -3y
Remove the zero:
3x + y3 + 3z = -3y

Add '-1y3' to each side of the equation.
3x + y3 + -1y3 + 3z = -3y + -1y3

Combine like terms: y3 + -1y3 = 0
3x + 0 + 3z = -3y + -1y3
3x + 3z = -3y + -1y3

Add '-3z' to each side of the equation.
3x + 3z + -3z = -3y + -1y3 + -3z

Combine like terms: 3z + -3z = 0
3x + 0 = -3y + -1y3 + -3z
3x = -3y + -1y3 + -3z

Divide each side by '3'.
x = -1y + -0.3333333333y3 + -1z

Simplifying
x = -1y + -0.3333333333y3 + -1z

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