z^2+2x+6+3z=0

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

Simplifying
z2 + 2x + 6 + 3z = 0

Reorder the terms:
6 + 2x + 3z + z2 = 0

Solving
6 + 2x + 3z + z2 = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + 3z + -6 + z2 = 0 + -6

Reorder the terms:
6 + -6 + 2x + 3z + z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + 3z + z2 = 0 + -6
2x + 3z + z2 = 0 + -6

Combine like terms: 0 + -6 = -6
2x + 3z + z2 = -6

Add '-3z' to each side of the equation.
2x + 3z + -3z + z2 = -6 + -3z

Combine like terms: 3z + -3z = 0
2x + 0 + z2 = -6 + -3z
2x + z2 = -6 + -3z

Add '-1z2' to each side of the equation.
2x + z2 + -1z2 = -6 + -3z + -1z2

Combine like terms: z2 + -1z2 = 0
2x + 0 = -6 + -3z + -1z2
2x = -6 + -3z + -1z2

Divide each side by '2'.
x = -3 + -1.5z + -0.5z2

Simplifying
x = -3 + -1.5z + -0.5z2