(k+6)x^2+4x+(k+3)=0

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Solution for (k+6)x^2+4x+(k+3)=0 equation: 


Simplifying
(k + 6) * x2 + 4x + (k + 3) = 0

Reorder the terms:
(6 + k) * x2 + 4x + (k + 3) = 0

Reorder the terms for easier multiplication:
x2(6 + k) + 4x + (k + 3) = 0
(6 * x2 + k * x2) + 4x + (k + 3) = 0

Reorder the terms:
(kx2 + 6x2) + 4x + (k + 3) = 0
(kx2 + 6x2) + 4x + (k + 3) = 0

Reorder the terms:
kx2 + 6x2 + 4x + (3 + k) = 0

Remove parenthesis around (3 + k)
kx2 + 6x2 + 4x + 3 + k = 0

Reorder the terms:
3 + k + kx2 + 4x + 6x2 = 0

Solving
3 + k + kx2 + 4x + 6x2 = 0

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + k + kx2 + 4x + -3 + 6x2 = 0 + -3

Reorder the terms:
3 + -3 + k + kx2 + 4x + 6x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + k + kx2 + 4x + 6x2 = 0 + -3
k + kx2 + 4x + 6x2 = 0 + -3

Combine like terms: 0 + -3 = -3
k + kx2 + 4x + 6x2 = -3

Add '-4x' to each side of the equation.
k + kx2 + 4x + -4x + 6x2 = -3 + -4x

Combine like terms: 4x + -4x = 0
k + kx2 + 0 + 6x2 = -3 + -4x
k + kx2 + 6x2 = -3 + -4x

Add '-6x2' to each side of the equation.
k + kx2 + 6x2 + -6x2 = -3 + -4x + -6x2

Combine like terms: 6x2 + -6x2 = 0
k + kx2 + 0 = -3 + -4x + -6x2
k + kx2 = -3 + -4x + -6x2

Reorder the terms:
3 + k + kx2 + 4x + 6x2 = -3 + -4x + -6x2 + 3 + 4x + 6x2

Reorder the terms:
3 + k + kx2 + 4x + 6x2 = -3 + 3 + -4x + 4x + -6x2 + 6x2

Combine like terms: -3 + 3 = 0
3 + k + kx2 + 4x + 6x2 = 0 + -4x + 4x + -6x2 + 6x2
3 + k + kx2 + 4x + 6x2 = -4x + 4x + -6x2 + 6x2

Combine like terms: -4x + 4x = 0
3 + k + kx2 + 4x + 6x2 = 0 + -6x2 + 6x2
3 + k + kx2 + 4x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
3 + k + kx2 + 4x + 6x2 = 0

The solution to this equation could not be determined.

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