4z^4-12z^3+17Z^2-10z+2=0

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Solution for 4z^4-12z^3+17Z^2-10z+2=0 equation: 


Simplifying
4z4 + -12z3 + 17Z2 + -10z + 2 = 0

Reorder the terms:
2 + 17Z2 + -10z + -12z3 + 4z4 = 0

Solving
2 + 17Z2 + -10z + -12z3 + 4z4 = 0

Solving for variable 'Z'.

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

Add '-2' to each side of the equation.
2 + 17Z2 + -10z + -12z3 + -2 + 4z4 = 0 + -2

Reorder the terms:
2 + -2 + 17Z2 + -10z + -12z3 + 4z4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 17Z2 + -10z + -12z3 + 4z4 = 0 + -2
17Z2 + -10z + -12z3 + 4z4 = 0 + -2

Combine like terms: 0 + -2 = -2
17Z2 + -10z + -12z3 + 4z4 = -2

Add '10z' to each side of the equation.
17Z2 + -10z + -12z3 + 10z + 4z4 = -2 + 10z

Reorder the terms:
17Z2 + -10z + 10z + -12z3 + 4z4 = -2 + 10z

Combine like terms: -10z + 10z = 0
17Z2 + 0 + -12z3 + 4z4 = -2 + 10z
17Z2 + -12z3 + 4z4 = -2 + 10z

Add '12z3' to each side of the equation.
17Z2 + -12z3 + 12z3 + 4z4 = -2 + 10z + 12z3

Combine like terms: -12z3 + 12z3 = 0
17Z2 + 0 + 4z4 = -2 + 10z + 12z3
17Z2 + 4z4 = -2 + 10z + 12z3

Add '-4z4' to each side of the equation.
17Z2 + 4z4 + -4z4 = -2 + 10z + 12z3 + -4z4

Combine like terms: 4z4 + -4z4 = 0
17Z2 + 0 = -2 + 10z + 12z3 + -4z4
17Z2 = -2 + 10z + 12z3 + -4z4

Divide each side by '17'.
Z2 = -0.1176470588 + 0.5882352941z + 0.7058823529z3 + -0.2352941176z4

Simplifying
Z2 = -0.1176470588 + 0.5882352941z + 0.7058823529z3 + -0.2352941176z4

Reorder the terms:
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = -0.1176470588 + 0.5882352941z + 0.7058823529z3 + -0.2352941176z4 + 0.1176470588 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4

Reorder the terms:
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = -0.1176470588 + 0.1176470588 + 0.5882352941z + -0.5882352941z + 0.7058823529z3 + -0.7058823529z3 + -0.2352941176z4 + 0.2352941176z4

Combine like terms: -0.1176470588 + 0.1176470588 = 0.0000000000
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = 0.0000000000 + 0.5882352941z + -0.5882352941z + 0.7058823529z3 + -0.7058823529z3 + -0.2352941176z4 + 0.2352941176z4
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = 0.5882352941z + -0.5882352941z + 0.7058823529z3 + -0.7058823529z3 + -0.2352941176z4 + 0.2352941176z4

Combine like terms: 0.5882352941z + -0.5882352941z = 0.0000000000
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = 0.0000000000 + 0.7058823529z3 + -0.7058823529z3 + -0.2352941176z4 + 0.2352941176z4
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = 0.7058823529z3 + -0.7058823529z3 + -0.2352941176z4 + 0.2352941176z4

Combine like terms: 0.7058823529z3 + -0.7058823529z3 = 0.0000000000
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = 0.0000000000 + -0.2352941176z4 + 0.2352941176z4
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = -0.2352941176z4 + 0.2352941176z4

Combine like terms: -0.2352941176z4 + 0.2352941176z4 = 0.0000000000
0.1176470588 + Z2 + -0.5882352941z + -0.7058823529z3 + 0.2352941176z4 = 0.0000000000

The solution to this equation could not be determined.

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