X^2+2kx+3k+k=0

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Solution for X^2+2kx+3k+k=0 equation: 


Simplifying
X2 + 2kx + 3k + k = 0

Reorder the terms:
X2 + 3k + k + 2kx = 0

Combine like terms: 3k + k = 4k
X2 + 4k + 2kx = 0

Solving
X2 + 4k + 2kx = 0

Solving for variable 'X'.

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

Add '-4k' to each side of the equation.
X2 + 4k + -4k + 2kx = 0 + -4k

Combine like terms: 4k + -4k = 0
X2 + 0 + 2kx = 0 + -4k
X2 + 2kx = 0 + -4k
Remove the zero:
X2 + 2kx = -4k

Add '-2kx' to each side of the equation.
X2 + 2kx + -2kx = -4k + -2kx

Combine like terms: 2kx + -2kx = 0
X2 + 0 = -4k + -2kx
X2 = -4k + -2kx

Simplifying
X2 = -4k + -2kx

Reorder the terms:
X2 + 4k + 2kx = -4k + 4k + -2kx + 2kx

Combine like terms: -4k + 4k = 0
X2 + 4k + 2kx = 0 + -2kx + 2kx
X2 + 4k + 2kx = -2kx + 2kx

Combine like terms: -2kx + 2kx = 0
X2 + 4k + 2kx = 0

The solution to this equation could not be determined.

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