2x^3+(-3k+3)x+(3k+5)=0

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Solution for 2x^3+(-3k+3)x+(3k+5)=0 equation: 


Simplifying
2x3 + (-3k + 3) * x + (3k + 5) = 0

Reorder the terms:
2x3 + (3 + -3k) * x + (3k + 5) = 0

Reorder the terms for easier multiplication:
2x3 + x(3 + -3k) + (3k + 5) = 0
2x3 + (3 * x + -3k * x) + (3k + 5) = 0

Reorder the terms:
2x3 + (-3kx + 3x) + (3k + 5) = 0
2x3 + (-3kx + 3x) + (3k + 5) = 0

Reorder the terms:
2x3 + -3kx + 3x + (5 + 3k) = 0

Remove parenthesis around (5 + 3k)
2x3 + -3kx + 3x + 5 + 3k = 0

Reorder the terms:
5 + 3k + -3kx + 3x + 2x3 = 0

Solving
5 + 3k + -3kx + 3x + 2x3 = 0

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + 3k + -3kx + 3x + -5 + 2x3 = 0 + -5

Reorder the terms:
5 + -5 + 3k + -3kx + 3x + 2x3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3k + -3kx + 3x + 2x3 = 0 + -5
3k + -3kx + 3x + 2x3 = 0 + -5

Combine like terms: 0 + -5 = -5
3k + -3kx + 3x + 2x3 = -5

Add '-3x' to each side of the equation.
3k + -3kx + 3x + -3x + 2x3 = -5 + -3x

Combine like terms: 3x + -3x = 0
3k + -3kx + 0 + 2x3 = -5 + -3x
3k + -3kx + 2x3 = -5 + -3x

Add '-2x3' to each side of the equation.
3k + -3kx + 2x3 + -2x3 = -5 + -3x + -2x3

Combine like terms: 2x3 + -2x3 = 0
3k + -3kx + 0 = -5 + -3x + -2x3
3k + -3kx = -5 + -3x + -2x3

Reorder the terms:
5 + 3k + -3kx + 3x + 2x3 = -5 + -3x + -2x3 + 5 + 3x + 2x3

Reorder the terms:
5 + 3k + -3kx + 3x + 2x3 = -5 + 5 + -3x + 3x + -2x3 + 2x3

Combine like terms: -5 + 5 = 0
5 + 3k + -3kx + 3x + 2x3 = 0 + -3x + 3x + -2x3 + 2x3
5 + 3k + -3kx + 3x + 2x3 = -3x + 3x + -2x3 + 2x3

Combine like terms: -3x + 3x = 0
5 + 3k + -3kx + 3x + 2x3 = 0 + -2x3 + 2x3
5 + 3k + -3kx + 3x + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
5 + 3k + -3kx + 3x + 2x3 = 0

The solution to this equation could not be determined.

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