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

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


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

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

Solving
2 + X2 + k + kx + 3x = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X2 + k + kx + -2 + 3x = 0 + -2

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

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

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

Add '-1k' to each side of the equation.
X2 + k + kx + -1k + 3x = -2 + -1k

Reorder the terms:
X2 + k + -1k + kx + 3x = -2 + -1k

Combine like terms: k + -1k = 0
X2 + 0 + kx + 3x = -2 + -1k
X2 + kx + 3x = -2 + -1k

Add '-1kx' to each side of the equation.
X2 + kx + -1kx + 3x = -2 + -1k + -1kx

Combine like terms: kx + -1kx = 0
X2 + 0 + 3x = -2 + -1k + -1kx
X2 + 3x = -2 + -1k + -1kx

Add '-3x' to each side of the equation.
X2 + 3x + -3x = -2 + -1k + -1kx + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 = -2 + -1k + -1kx + -3x
X2 = -2 + -1k + -1kx + -3x

Simplifying
X2 = -2 + -1k + -1kx + -3x

Reorder the terms:
2 + X2 + k + kx + 3x = -2 + -1k + -1kx + -3x + 2 + k + kx + 3x

Reorder the terms:
2 + X2 + k + kx + 3x = -2 + 2 + -1k + k + -1kx + kx + -3x + 3x

Combine like terms: -2 + 2 = 0
2 + X2 + k + kx + 3x = 0 + -1k + k + -1kx + kx + -3x + 3x
2 + X2 + k + kx + 3x = -1k + k + -1kx + kx + -3x + 3x

Combine like terms: -1k + k = 0
2 + X2 + k + kx + 3x = 0 + -1kx + kx + -3x + 3x
2 + X2 + k + kx + 3x = -1kx + kx + -3x + 3x

Combine like terms: -1kx + kx = 0
2 + X2 + k + kx + 3x = 0 + -3x + 3x
2 + X2 + k + kx + 3x = -3x + 3x

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

The solution to this equation could not be determined.

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