x^3-kx^2+kx+2=2

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Solution for x^3-kx^2+kx+2=2 equation: 


Simplifying
x3 + -1kx2 + kx + 2 = 2

Reorder the terms:
2 + kx + -1kx2 + x3 = 2

Add '-2' to each side of the equation.
2 + kx + -1kx2 + -2 + x3 = 2 + -2

Reorder the terms:
2 + -2 + kx + -1kx2 + x3 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + kx + -1kx2 + x3 = 2 + -2
kx + -1kx2 + x3 = 2 + -2

Combine like terms: 2 + -2 = 0
kx + -1kx2 + x3 = 0

Solving
kx + -1kx2 + x3 = 0

Solving for variable 'k'.

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

Add '-1x3' to each side of the equation.
kx + -1kx2 + x3 + -1x3 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
kx + -1kx2 + 0 = 0 + -1x3
kx + -1kx2 = 0 + -1x3
Remove the zero:
kx + -1kx2 = -1x3

Combine like terms: -1x3 + x3 = 0
kx + -1kx2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(k + -1kx + x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(k + -1kx + x2)' equal to zero and attempt to solve:

Simplifying
k + -1kx + x2 = 0

Solving
k + -1kx + x2 = 0

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

Add '-1x2' to each side of the equation.
k + -1kx + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
k + -1kx + 0 = 0 + -1x2
k + -1kx = 0 + -1x2
Remove the zero:
k + -1kx = -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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