z(z^2+1)=5+z^3

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Solution for z(z^2+1)=5+z^3 equation:


Simplifying
z(z2 + 1) = 5 + z3

Reorder the terms:
z(1 + z2) = 5 + z3
(1 * z + z2 * z) = 5 + z3
(1z + z3) = 5 + z3

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

Combine like terms: z3 + -1z3 = 0
1z + 0 = 5 + z3 + -1z3
1z = 5 + z3 + -1z3

Combine like terms: z3 + -1z3 = 0
1z = 5 + 0
1z = 5

Solving
1z = 5

Solving for variable 'z'.

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

Divide each side by '1'.
z = 5

Simplifying
z = 5

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