W(z)=z^4-4z^3+3z^2+8z-10

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Solution for W(z)=z^4-4z^3+3z^2+8z-10 equation: 


Simplifying
W(z) = z4 + -4z3 + 3z2 + 8z + -10

Multiply W * z
zW = z4 + -4z3 + 3z2 + 8z + -10

Reorder the terms:
zW = -10 + 8z + 3z2 + -4z3 + z4

Solving
zW = -10 + 8z + 3z2 + -4z3 + z4

Solving for variable 'z'.

Reorder the terms:
10 + -8z + zW + -3z2 + 4z3 + -1z4 = -10 + 8z + 3z2 + -4z3 + z4 + 10 + -8z + -3z2 + 4z3 + -1z4

Reorder the terms:
10 + -8z + zW + -3z2 + 4z3 + -1z4 = -10 + 10 + 8z + -8z + 3z2 + -3z2 + -4z3 + 4z3 + z4 + -1z4

Combine like terms: -10 + 10 = 0
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 0 + 8z + -8z + 3z2 + -3z2 + -4z3 + 4z3 + z4 + -1z4
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 8z + -8z + 3z2 + -3z2 + -4z3 + 4z3 + z4 + -1z4

Combine like terms: 8z + -8z = 0
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 0 + 3z2 + -3z2 + -4z3 + 4z3 + z4 + -1z4
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 3z2 + -3z2 + -4z3 + 4z3 + z4 + -1z4

Combine like terms: 3z2 + -3z2 = 0
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 0 + -4z3 + 4z3 + z4 + -1z4
10 + -8z + zW + -3z2 + 4z3 + -1z4 = -4z3 + 4z3 + z4 + -1z4

Combine like terms: -4z3 + 4z3 = 0
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 0 + z4 + -1z4
10 + -8z + zW + -3z2 + 4z3 + -1z4 = z4 + -1z4

Combine like terms: z4 + -1z4 = 0
10 + -8z + zW + -3z2 + 4z3 + -1z4 = 0

The solution to this equation could not be determined.

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