Z^4-2z^3+7z^2-30z+50=0

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Solution for Z^4-2z^3+7z^2-30z+50=0 equation: 


Simplifying
Z4 + -2z3 + 7z2 + -30z + 50 = 0

Reorder the terms:
50 + Z4 + -30z + 7z2 + -2z3 = 0

Solving
50 + Z4 + -30z + 7z2 + -2z3 = 0

Solving for variable 'Z'.

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

Add '-50' to each side of the equation.
50 + Z4 + -30z + 7z2 + -50 + -2z3 = 0 + -50

Reorder the terms:
50 + -50 + Z4 + -30z + 7z2 + -2z3 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + Z4 + -30z + 7z2 + -2z3 = 0 + -50
Z4 + -30z + 7z2 + -2z3 = 0 + -50

Combine like terms: 0 + -50 = -50
Z4 + -30z + 7z2 + -2z3 = -50

Add '30z' to each side of the equation.
Z4 + -30z + 7z2 + 30z + -2z3 = -50 + 30z

Reorder the terms:
Z4 + -30z + 30z + 7z2 + -2z3 = -50 + 30z

Combine like terms: -30z + 30z = 0
Z4 + 0 + 7z2 + -2z3 = -50 + 30z
Z4 + 7z2 + -2z3 = -50 + 30z

Add '-7z2' to each side of the equation.
Z4 + 7z2 + -7z2 + -2z3 = -50 + 30z + -7z2

Combine like terms: 7z2 + -7z2 = 0
Z4 + 0 + -2z3 = -50 + 30z + -7z2
Z4 + -2z3 = -50 + 30z + -7z2

Add '2z3' to each side of the equation.
Z4 + -2z3 + 2z3 = -50 + 30z + -7z2 + 2z3

Combine like terms: -2z3 + 2z3 = 0
Z4 + 0 = -50 + 30z + -7z2 + 2z3
Z4 = -50 + 30z + -7z2 + 2z3

Simplifying
Z4 = -50 + 30z + -7z2 + 2z3

Reorder the terms:
50 + Z4 + -30z + 7z2 + -2z3 = -50 + 30z + -7z2 + 2z3 + 50 + -30z + 7z2 + -2z3

Reorder the terms:
50 + Z4 + -30z + 7z2 + -2z3 = -50 + 50 + 30z + -30z + -7z2 + 7z2 + 2z3 + -2z3

Combine like terms: -50 + 50 = 0
50 + Z4 + -30z + 7z2 + -2z3 = 0 + 30z + -30z + -7z2 + 7z2 + 2z3 + -2z3
50 + Z4 + -30z + 7z2 + -2z3 = 30z + -30z + -7z2 + 7z2 + 2z3 + -2z3

Combine like terms: 30z + -30z = 0
50 + Z4 + -30z + 7z2 + -2z3 = 0 + -7z2 + 7z2 + 2z3 + -2z3
50 + Z4 + -30z + 7z2 + -2z3 = -7z2 + 7z2 + 2z3 + -2z3

Combine like terms: -7z2 + 7z2 = 0
50 + Z4 + -30z + 7z2 + -2z3 = 0 + 2z3 + -2z3
50 + Z4 + -30z + 7z2 + -2z3 = 2z3 + -2z3

Combine like terms: 2z3 + -2z3 = 0
50 + Z4 + -30z + 7z2 + -2z3 = 0

The solution to this equation could not be determined.

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