(k+5)x^3+2x^2+7x-k=0

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Solution for (k+5)x^3+2x^2+7x-k=0 equation: 


Simplifying
(k + 5) * x3 + 2x2 + 7x + -1k = 0

Reorder the terms:
(5 + k) * x3 + 2x2 + 7x + -1k = 0

Reorder the terms for easier multiplication:
x3(5 + k) + 2x2 + 7x + -1k = 0
(5 * x3 + k * x3) + 2x2 + 7x + -1k = 0

Reorder the terms:
(kx3 + 5x3) + 2x2 + 7x + -1k = 0
(kx3 + 5x3) + 2x2 + 7x + -1k = 0

Reorder the terms:
-1k + kx3 + 7x + 2x2 + 5x3 = 0

Solving
-1k + kx3 + 7x + 2x2 + 5x3 = 0

Solving for variable 'k'.

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

Add '-7x' to each side of the equation.
-1k + kx3 + 7x + 2x2 + -7x + 5x3 = 0 + -7x

Reorder the terms:
-1k + kx3 + 7x + -7x + 2x2 + 5x3 = 0 + -7x

Combine like terms: 7x + -7x = 0
-1k + kx3 + 0 + 2x2 + 5x3 = 0 + -7x
-1k + kx3 + 2x2 + 5x3 = 0 + -7x
Remove the zero:
-1k + kx3 + 2x2 + 5x3 = -7x

Add '-2x2' to each side of the equation.
-1k + kx3 + 2x2 + -2x2 + 5x3 = -7x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1k + kx3 + 0 + 5x3 = -7x + -2x2
-1k + kx3 + 5x3 = -7x + -2x2

Add '-5x3' to each side of the equation.
-1k + kx3 + 5x3 + -5x3 = -7x + -2x2 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-1k + kx3 + 0 = -7x + -2x2 + -5x3
-1k + kx3 = -7x + -2x2 + -5x3

Reorder the terms:
-1k + kx3 + 7x + 2x2 + 5x3 = -7x + 7x + -2x2 + 2x2 + -5x3 + 5x3

Combine like terms: -7x + 7x = 0
-1k + kx3 + 7x + 2x2 + 5x3 = 0 + -2x2 + 2x2 + -5x3 + 5x3
-1k + kx3 + 7x + 2x2 + 5x3 = -2x2 + 2x2 + -5x3 + 5x3

Combine like terms: -2x2 + 2x2 = 0
-1k + kx3 + 7x + 2x2 + 5x3 = 0 + -5x3 + 5x3
-1k + kx3 + 7x + 2x2 + 5x3 = -5x3 + 5x3

Combine like terms: -5x3 + 5x3 = 0
-1k + kx3 + 7x + 2x2 + 5x3 = 0

The solution to this equation could not be determined.

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