kx^2+(2k-6)x+(k-6)=0

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Solution for kx^2+(2k-6)x+(k-6)=0 equation:


Simplifying
kx2 + (2k + -6) * x + (k + -6) = 0

Reorder the terms:
kx2 + (-6 + 2k) * x + (k + -6) = 0

Reorder the terms for easier multiplication:
kx2 + x(-6 + 2k) + (k + -6) = 0
kx2 + (-6 * x + 2k * x) + (k + -6) = 0

Reorder the terms:
kx2 + (2kx + -6x) + (k + -6) = 0
kx2 + (2kx + -6x) + (k + -6) = 0

Reorder the terms:
kx2 + 2kx + -6x + (-6 + k) = 0

Remove parenthesis around (-6 + k)
kx2 + 2kx + -6x + -6 + k = 0

Reorder the terms:
-6 + k + 2kx + kx2 + -6x = 0

Solving
-6 + k + 2kx + kx2 + -6x = 0

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + k + 2kx + kx2 + 6 + -6x = 0 + 6

Reorder the terms:
-6 + 6 + k + 2kx + kx2 + -6x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + k + 2kx + kx2 + -6x = 0 + 6
k + 2kx + kx2 + -6x = 0 + 6

Combine like terms: 0 + 6 = 6
k + 2kx + kx2 + -6x = 6

Add '6x' to each side of the equation.
k + 2kx + kx2 + -6x + 6x = 6 + 6x

Combine like terms: -6x + 6x = 0
k + 2kx + kx2 + 0 = 6 + 6x
k + 2kx + kx2 = 6 + 6x

Reorder the terms:
-6 + k + 2kx + kx2 + -6x = 6 + 6x + -6 + -6x

Reorder the terms:
-6 + k + 2kx + kx2 + -6x = 6 + -6 + 6x + -6x

Combine like terms: 6 + -6 = 0
-6 + k + 2kx + kx2 + -6x = 0 + 6x + -6x
-6 + k + 2kx + kx2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + k + 2kx + kx2 + -6x = 0

The solution to this equation could not be determined.

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