2x^3+2x^2k+x^2+xk-15x-15k=-3

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Solution for 2x^3+2x^2k+x^2+xk-15x-15k=-3 equation:


Simplifying
2x3 + 2x2k + x2 + xk + -15x + -15k = -3

Reorder the terms:
-15k + kx + 2kx2 + -15x + x2 + 2x3 = -3

Solving
-15k + kx + 2kx2 + -15x + x2 + 2x3 = -3

Solving for variable 'k'.

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

Add '15x' to each side of the equation.
-15k + kx + 2kx2 + -15x + x2 + 15x + 2x3 = -3 + 15x

Reorder the terms:
-15k + kx + 2kx2 + -15x + 15x + x2 + 2x3 = -3 + 15x

Combine like terms: -15x + 15x = 0
-15k + kx + 2kx2 + 0 + x2 + 2x3 = -3 + 15x
-15k + kx + 2kx2 + x2 + 2x3 = -3 + 15x

Add '-1x2' to each side of the equation.
-15k + kx + 2kx2 + x2 + -1x2 + 2x3 = -3 + 15x + -1x2

Combine like terms: x2 + -1x2 = 0
-15k + kx + 2kx2 + 0 + 2x3 = -3 + 15x + -1x2
-15k + kx + 2kx2 + 2x3 = -3 + 15x + -1x2

Add '-2x3' to each side of the equation.
-15k + kx + 2kx2 + 2x3 + -2x3 = -3 + 15x + -1x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-15k + kx + 2kx2 + 0 = -3 + 15x + -1x2 + -2x3
-15k + kx + 2kx2 = -3 + 15x + -1x2 + -2x3

Reorder the terms:
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -3 + 15x + -1x2 + -2x3 + 3 + -15x + x2 + 2x3

Reorder the terms:
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -3 + 3 + 15x + -15x + -1x2 + x2 + -2x3 + 2x3

Combine like terms: -3 + 3 = 0
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 + 15x + -15x + -1x2 + x2 + -2x3 + 2x3
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 15x + -15x + -1x2 + x2 + -2x3 + 2x3

Combine like terms: 15x + -15x = 0
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 + -1x2 + x2 + -2x3 + 2x3
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -1x2 + x2 + -2x3 + 2x3

Combine like terms: -1x2 + x2 = 0
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0 + -2x3 + 2x3
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
3 + -15k + kx + 2kx2 + -15x + x2 + 2x3 = 0

The solution to this equation could not be determined.

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