x^3+(k-3)x+(3-2k)=0

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Solution for x^3+(k-3)x+(3-2k)=0 equation: 


Simplifying
x3 + (k + -3) * x + (3 + -2k) = 0

Reorder the terms:
x3 + (-3 + k) * x + (3 + -2k) = 0

Reorder the terms for easier multiplication:
x3 + x(-3 + k) + (3 + -2k) = 0
x3 + (-3 * x + k * x) + (3 + -2k) = 0

Reorder the terms:
x3 + (kx + -3x) + (3 + -2k) = 0
x3 + (kx + -3x) + (3 + -2k) = 0

Remove parenthesis around (3 + -2k)
x3 + kx + -3x + 3 + -2k = 0

Reorder the terms:
3 + -2k + kx + -3x + x3 = 0

Solving
3 + -2k + kx + -3x + x3 = 0

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -2k + kx + -3x + -3 + x3 = 0 + -3

Reorder the terms:
3 + -3 + -2k + kx + -3x + x3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k + kx + -3x + x3 = 0 + -3
-2k + kx + -3x + x3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2k + kx + -3x + x3 = -3

Add '3x' to each side of the equation.
-2k + kx + -3x + 3x + x3 = -3 + 3x

Combine like terms: -3x + 3x = 0
-2k + kx + 0 + x3 = -3 + 3x
-2k + kx + x3 = -3 + 3x

Add '-1x3' to each side of the equation.
-2k + kx + x3 + -1x3 = -3 + 3x + -1x3

Combine like terms: x3 + -1x3 = 0
-2k + kx + 0 = -3 + 3x + -1x3
-2k + kx = -3 + 3x + -1x3

Reorder the terms:
3 + -2k + kx + -3x + x3 = -3 + 3x + -1x3 + 3 + -3x + x3

Reorder the terms:
3 + -2k + kx + -3x + x3 = -3 + 3 + 3x + -3x + -1x3 + x3

Combine like terms: -3 + 3 = 0
3 + -2k + kx + -3x + x3 = 0 + 3x + -3x + -1x3 + x3
3 + -2k + kx + -3x + x3 = 3x + -3x + -1x3 + x3

Combine like terms: 3x + -3x = 0
3 + -2k + kx + -3x + x3 = 0 + -1x3 + x3
3 + -2k + kx + -3x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
3 + -2k + kx + -3x + x3 = 0

The solution to this equation could not be determined.

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