6x^2+2kx+3x+k=3x^2+4kx+5

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Solution for 6x^2+2kx+3x+k=3x^2+4kx+5 equation: 


Simplifying
6x2 + 2kx + 3x + k = 3x2 + 4kx + 5

Reorder the terms:
k + 2kx + 3x + 6x2 = 3x2 + 4kx + 5

Reorder the terms:
k + 2kx + 3x + 6x2 = 5 + 4kx + 3x2

Solving
k + 2kx + 3x + 6x2 = 5 + 4kx + 3x2

Solving for variable 'k'.

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

Add '-4kx' to each side of the equation.
k + 2kx + 3x + -4kx + 6x2 = 5 + 4kx + -4kx + 3x2

Reorder the terms:
k + 2kx + -4kx + 3x + 6x2 = 5 + 4kx + -4kx + 3x2

Combine like terms: 2kx + -4kx = -2kx
k + -2kx + 3x + 6x2 = 5 + 4kx + -4kx + 3x2

Combine like terms: 4kx + -4kx = 0
k + -2kx + 3x + 6x2 = 5 + 0 + 3x2
k + -2kx + 3x + 6x2 = 5 + 3x2

Add '-3x' to each side of the equation.
k + -2kx + 3x + -3x + 6x2 = 5 + -3x + 3x2

Combine like terms: 3x + -3x = 0
k + -2kx + 0 + 6x2 = 5 + -3x + 3x2
k + -2kx + 6x2 = 5 + -3x + 3x2

Add '-6x2' to each side of the equation.
k + -2kx + 6x2 + -6x2 = 5 + -3x + 3x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
k + -2kx + 0 = 5 + -3x + 3x2 + -6x2
k + -2kx = 5 + -3x + 3x2 + -6x2

Combine like terms: 3x2 + -6x2 = -3x2
k + -2kx = 5 + -3x + -3x2

Reorder the terms:
-5 + k + -2kx + 3x + 3x2 = 5 + -3x + -3x2 + -5 + 3x + 3x2

Reorder the terms:
-5 + k + -2kx + 3x + 3x2 = 5 + -5 + -3x + 3x + -3x2 + 3x2

Combine like terms: 5 + -5 = 0
-5 + k + -2kx + 3x + 3x2 = 0 + -3x + 3x + -3x2 + 3x2
-5 + k + -2kx + 3x + 3x2 = -3x + 3x + -3x2 + 3x2

Combine like terms: -3x + 3x = 0
-5 + k + -2kx + 3x + 3x2 = 0 + -3x2 + 3x2
-5 + k + -2kx + 3x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-5 + k + -2kx + 3x + 3x2 = 0

The solution to this equation could not be determined.

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