x^3+kx-1=0

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Solution for x^3+kx-1=0 equation:


Simplifying
x3 + kx + -1 = 0

Reorder the terms:
-1 + kx + x3 = 0

Solving
-1 + kx + x3 = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + kx + 1 + x3 = 0 + 1

Reorder the terms:
-1 + 1 + kx + x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + kx + x3 = 0 + 1
kx + x3 = 0 + 1

Combine like terms: 0 + 1 = 1
kx + x3 = 1

Add '-1x3' to each side of the equation.
kx + x3 + -1x3 = 1 + -1x3

Combine like terms: x3 + -1x3 = 0
kx + 0 = 1 + -1x3
kx = 1 + -1x3

Divide each side by 'x'.
k = x-1 + -1x2

Simplifying
k = x-1 + -1x2

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