(x^3)+(2k-4)x^2+13x+8k=0

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Solution for (x^3)+(2k-4)x^2+13x+8k=0 equation: 


Simplifying
(x3) + (2k + -4) * x2 + 13x + 8k = 0
x3 + (2k + -4) * x2 + 13x + 8k = 0

Reorder the terms:
x3 + (-4 + 2k) * x2 + 13x + 8k = 0

Reorder the terms for easier multiplication:
x3 + x2(-4 + 2k) + 13x + 8k = 0
x3 + (-4 * x2 + 2k * x2) + 13x + 8k = 0

Reorder the terms:
x3 + (2kx2 + -4x2) + 13x + 8k = 0
x3 + (2kx2 + -4x2) + 13x + 8k = 0

Reorder the terms:
8k + 2kx2 + 13x + -4x2 + x3 = 0

Solving
8k + 2kx2 + 13x + -4x2 + x3 = 0

Solving for variable 'k'.

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

Add '-13x' to each side of the equation.
8k + 2kx2 + 13x + -4x2 + -13x + x3 = 0 + -13x

Reorder the terms:
8k + 2kx2 + 13x + -13x + -4x2 + x3 = 0 + -13x

Combine like terms: 13x + -13x = 0
8k + 2kx2 + 0 + -4x2 + x3 = 0 + -13x
8k + 2kx2 + -4x2 + x3 = 0 + -13x
Remove the zero:
8k + 2kx2 + -4x2 + x3 = -13x

Add '4x2' to each side of the equation.
8k + 2kx2 + -4x2 + 4x2 + x3 = -13x + 4x2

Combine like terms: -4x2 + 4x2 = 0
8k + 2kx2 + 0 + x3 = -13x + 4x2
8k + 2kx2 + x3 = -13x + 4x2

Add '-1x3' to each side of the equation.
8k + 2kx2 + x3 + -1x3 = -13x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
8k + 2kx2 + 0 = -13x + 4x2 + -1x3
8k + 2kx2 = -13x + 4x2 + -1x3

Reorder the terms:
8k + 2kx2 + 13x + -4x2 + x3 = -13x + 13x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: -13x + 13x = 0
8k + 2kx2 + 13x + -4x2 + x3 = 0 + 4x2 + -4x2 + -1x3 + x3
8k + 2kx2 + 13x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
8k + 2kx2 + 13x + -4x2 + x3 = 0 + -1x3 + x3
8k + 2kx2 + 13x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
8k + 2kx2 + 13x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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