z^4+4x^3+3z^2+4z+2=0

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Solution for z^4+4x^3+3z^2+4z+2=0 equation: 


Simplifying
z4 + 4x3 + 3z2 + 4z + 2 = 0

Reorder the terms:
2 + 4x3 + 4z + 3z2 + z4 = 0

Solving
2 + 4x3 + 4z + 3z2 + z4 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 4x3 + 4z + 3z2 + -2 + z4 = 0 + -2

Reorder the terms:
2 + -2 + 4x3 + 4z + 3z2 + z4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4x3 + 4z + 3z2 + z4 = 0 + -2
4x3 + 4z + 3z2 + z4 = 0 + -2

Combine like terms: 0 + -2 = -2
4x3 + 4z + 3z2 + z4 = -2

Add '-4z' to each side of the equation.
4x3 + 4z + 3z2 + -4z + z4 = -2 + -4z

Reorder the terms:
4x3 + 4z + -4z + 3z2 + z4 = -2 + -4z

Combine like terms: 4z + -4z = 0
4x3 + 0 + 3z2 + z4 = -2 + -4z
4x3 + 3z2 + z4 = -2 + -4z

Add '-3z2' to each side of the equation.
4x3 + 3z2 + -3z2 + z4 = -2 + -4z + -3z2

Combine like terms: 3z2 + -3z2 = 0
4x3 + 0 + z4 = -2 + -4z + -3z2
4x3 + z4 = -2 + -4z + -3z2

Add '-1z4' to each side of the equation.
4x3 + z4 + -1z4 = -2 + -4z + -3z2 + -1z4

Combine like terms: z4 + -1z4 = 0
4x3 + 0 = -2 + -4z + -3z2 + -1z4
4x3 = -2 + -4z + -3z2 + -1z4

Divide each side by '4'.
x3 = -0.5 + -1z + -0.75z2 + -0.25z4

Simplifying
x3 = -0.5 + -1z + -0.75z2 + -0.25z4

Reorder the terms:
0.5 + x3 + z + 0.75z2 + 0.25z4 = -0.5 + -1z + -0.75z2 + -0.25z4 + 0.5 + z + 0.75z2 + 0.25z4

Reorder the terms:
0.5 + x3 + z + 0.75z2 + 0.25z4 = -0.5 + 0.5 + -1z + z + -0.75z2 + 0.75z2 + -0.25z4 + 0.25z4

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x3 + z + 0.75z2 + 0.25z4 = 0.0 + -1z + z + -0.75z2 + 0.75z2 + -0.25z4 + 0.25z4
0.5 + x3 + z + 0.75z2 + 0.25z4 = -1z + z + -0.75z2 + 0.75z2 + -0.25z4 + 0.25z4

Combine like terms: -1z + z = 0
0.5 + x3 + z + 0.75z2 + 0.25z4 = 0 + -0.75z2 + 0.75z2 + -0.25z4 + 0.25z4
0.5 + x3 + z + 0.75z2 + 0.25z4 = -0.75z2 + 0.75z2 + -0.25z4 + 0.25z4

Combine like terms: -0.75z2 + 0.75z2 = 0.00
0.5 + x3 + z + 0.75z2 + 0.25z4 = 0.00 + -0.25z4 + 0.25z4
0.5 + x3 + z + 0.75z2 + 0.25z4 = -0.25z4 + 0.25z4

Combine like terms: -0.25z4 + 0.25z4 = 0.00
0.5 + x3 + z + 0.75z2 + 0.25z4 = 0.00

The solution to this equation could not be determined.

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