Z^4-4z^3+9z^2-10z+6=0

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Solution for Z^4-4z^3+9z^2-10z+6=0 equation:


Simplifying
Z4 + -4z3 + 9z2 + -10z + 6 = 0

Reorder the terms:
6 + Z4 + -10z + 9z2 + -4z3 = 0

Solving
6 + Z4 + -10z + 9z2 + -4z3 = 0

Solving for variable 'Z'.

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

Add '-6' to each side of the equation.
6 + Z4 + -10z + 9z2 + -6 + -4z3 = 0 + -6

Reorder the terms:
6 + -6 + Z4 + -10z + 9z2 + -4z3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + Z4 + -10z + 9z2 + -4z3 = 0 + -6
Z4 + -10z + 9z2 + -4z3 = 0 + -6

Combine like terms: 0 + -6 = -6
Z4 + -10z + 9z2 + -4z3 = -6

Add '10z' to each side of the equation.
Z4 + -10z + 9z2 + 10z + -4z3 = -6 + 10z

Reorder the terms:
Z4 + -10z + 10z + 9z2 + -4z3 = -6 + 10z

Combine like terms: -10z + 10z = 0
Z4 + 0 + 9z2 + -4z3 = -6 + 10z
Z4 + 9z2 + -4z3 = -6 + 10z

Add '-9z2' to each side of the equation.
Z4 + 9z2 + -9z2 + -4z3 = -6 + 10z + -9z2

Combine like terms: 9z2 + -9z2 = 0
Z4 + 0 + -4z3 = -6 + 10z + -9z2
Z4 + -4z3 = -6 + 10z + -9z2

Add '4z3' to each side of the equation.
Z4 + -4z3 + 4z3 = -6 + 10z + -9z2 + 4z3

Combine like terms: -4z3 + 4z3 = 0
Z4 + 0 = -6 + 10z + -9z2 + 4z3
Z4 = -6 + 10z + -9z2 + 4z3

Simplifying
Z4 = -6 + 10z + -9z2 + 4z3

Reorder the terms:
6 + Z4 + -10z + 9z2 + -4z3 = -6 + 10z + -9z2 + 4z3 + 6 + -10z + 9z2 + -4z3

Reorder the terms:
6 + Z4 + -10z + 9z2 + -4z3 = -6 + 6 + 10z + -10z + -9z2 + 9z2 + 4z3 + -4z3

Combine like terms: -6 + 6 = 0
6 + Z4 + -10z + 9z2 + -4z3 = 0 + 10z + -10z + -9z2 + 9z2 + 4z3 + -4z3
6 + Z4 + -10z + 9z2 + -4z3 = 10z + -10z + -9z2 + 9z2 + 4z3 + -4z3

Combine like terms: 10z + -10z = 0
6 + Z4 + -10z + 9z2 + -4z3 = 0 + -9z2 + 9z2 + 4z3 + -4z3
6 + Z4 + -10z + 9z2 + -4z3 = -9z2 + 9z2 + 4z3 + -4z3

Combine like terms: -9z2 + 9z2 = 0
6 + Z4 + -10z + 9z2 + -4z3 = 0 + 4z3 + -4z3
6 + Z4 + -10z + 9z2 + -4z3 = 4z3 + -4z3

Combine like terms: 4z3 + -4z3 = 0
6 + Z4 + -10z + 9z2 + -4z3 = 0

The solution to this equation could not be determined.

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