z^6+5x^3+6=0

Solution for z^6+5x^3+6=0 equation:

Simplifying
z6 + 5x3 + 6 = 0

Reorder the terms:
6 + 5x3 + z6 = 0

Solving
6 + 5x3 + z6 = 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 + 5x3 + -6 + z6 = 0 + -6

Reorder the terms:
6 + -6 + 5x3 + z6 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x3 + z6 = 0 + -6
5x3 + z6 = 0 + -6

Combine like terms: 0 + -6 = -6
5x3 + z6 = -6

Add '-1z6' to each side of the equation.
5x3 + z6 + -1z6 = -6 + -1z6

Combine like terms: z6 + -1z6 = 0
5x3 + 0 = -6 + -1z6
5x3 = -6 + -1z6

Divide each side by '5'.
x3 = -1.2 + -0.2z6

Simplifying
x3 = -1.2 + -0.2z6

Reorder the terms:
1.2 + x3 + 0.2z6 = -1.2 + -0.2z6 + 1.2 + 0.2z6

Reorder the terms:
1.2 + x3 + 0.2z6 = -1.2 + 1.2 + -0.2z6 + 0.2z6

Combine like terms: -1.2 + 1.2 = 0.0
1.2 + x3 + 0.2z6 = 0.0 + -0.2z6 + 0.2z6
1.2 + x3 + 0.2z6 = -0.2z6 + 0.2z6

Combine like terms: -0.2z6 + 0.2z6 = 0.0
1.2 + x3 + 0.2z6 = 0.0

The solution to this equation could not be determined.