z^3-z^2+5zx-5=0

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Solution for z^3-z^2+5zx-5=0 equation:


Simplifying
z3 + -1z2 + 5zx + -5 = 0

Reorder the terms:
-5 + 5xz + -1z2 + z3 = 0

Solving
-5 + 5xz + -1z2 + z3 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5xz + -1z2 + 5 + z3 = 0 + 5

Reorder the terms:
-5 + 5 + 5xz + -1z2 + z3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5xz + -1z2 + z3 = 0 + 5
5xz + -1z2 + z3 = 0 + 5

Combine like terms: 0 + 5 = 5
5xz + -1z2 + z3 = 5

Add 'z2' to each side of the equation.
5xz + -1z2 + z2 + z3 = 5 + z2

Combine like terms: -1z2 + z2 = 0
5xz + 0 + z3 = 5 + z2
5xz + z3 = 5 + z2

Add '-1z3' to each side of the equation.
5xz + z3 + -1z3 = 5 + z2 + -1z3

Combine like terms: z3 + -1z3 = 0
5xz + 0 = 5 + z2 + -1z3
5xz = 5 + z2 + -1z3

Divide each side by '5z'.
x = z-1 + 0.2z + -0.2z2

Simplifying
x = z-1 + 0.2z + -0.2z2

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