X^2+(k+3)x+4k=0

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Solution for X^2+(k+3)x+4k=0 equation: 


Simplifying
X2 + (k + 3) * x + 4k = 0

Reorder the terms:
X2 + (3 + k) * x + 4k = 0

Reorder the terms for easier multiplication:
X2 + x(3 + k) + 4k = 0
X2 + (3 * x + k * x) + 4k = 0

Reorder the terms:
X2 + (kx + 3x) + 4k = 0
X2 + (kx + 3x) + 4k = 0

Reorder the terms:
X2 + 4k + kx + 3x = 0

Solving
X2 + 4k + kx + 3x = 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 + kx + -4k + 3x = 0 + -4k

Reorder the terms:
X2 + 4k + -4k + kx + 3x = 0 + -4k

Combine like terms: 4k + -4k = 0
X2 + 0 + kx + 3x = 0 + -4k
X2 + kx + 3x = 0 + -4k
Remove the zero:
X2 + kx + 3x = -4k

Add '-1kx' to each side of the equation.
X2 + kx + -1kx + 3x = -4k + -1kx

Combine like terms: kx + -1kx = 0
X2 + 0 + 3x = -4k + -1kx
X2 + 3x = -4k + -1kx

Add '-3x' to each side of the equation.
X2 + 3x + -3x = -4k + -1kx + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 = -4k + -1kx + -3x
X2 = -4k + -1kx + -3x

Simplifying
X2 = -4k + -1kx + -3x

Reorder the terms:
X2 + 4k + kx + 3x = -4k + 4k + -1kx + kx + -3x + 3x

Combine like terms: -4k + 4k = 0
X2 + 4k + kx + 3x = 0 + -1kx + kx + -3x + 3x
X2 + 4k + kx + 3x = -1kx + kx + -3x + 3x

Combine like terms: -1kx + kx = 0
X2 + 4k + kx + 3x = 0 + -3x + 3x
X2 + 4k + kx + 3x = -3x + 3x

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

The solution to this equation could not be determined.

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