0=kx^2-(k-3)x+(k-8)

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Solution for 0=kx^2-(k-3)x+(k-8) equation: 


Simplifying
0 = kx2 + -1(k + -3) * x + (k + -8)

Reorder the terms:
0 = kx2 + -1(-3 + k) * x + (k + -8)

Reorder the terms for easier multiplication:
0 = kx2 + -1x(-3 + k) + (k + -8)
0 = kx2 + (-3 * -1x + k * -1x) + (k + -8)

Reorder the terms:
0 = kx2 + (-1kx + 3x) + (k + -8)
0 = kx2 + (-1kx + 3x) + (k + -8)

Reorder the terms:
0 = kx2 + -1kx + 3x + (-8 + k)

Remove parenthesis around (-8 + k)
0 = kx2 + -1kx + 3x + -8 + k

Reorder the terms:
0 = -8 + k + -1kx + kx2 + 3x

Solving
0 = -8 + k + -1kx + kx2 + 3x

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
0 + -1k = -8 + k + -1kx + kx2 + -1k + 3x
Remove the zero:
-1k = -8 + k + -1kx + kx2 + -1k + 3x

Reorder the terms:
-1k = -8 + k + -1k + -1kx + kx2 + 3x

Combine like terms: k + -1k = 0
-1k = -8 + 0 + -1kx + kx2 + 3x
-1k = -8 + -1kx + kx2 + 3x

Add 'kx' to each side of the equation.
-1k + kx = -8 + -1kx + kx2 + kx + 3x

Reorder the terms:
-1k + kx = -8 + -1kx + kx + kx2 + 3x

Combine like terms: -1kx + kx = 0
-1k + kx = -8 + 0 + kx2 + 3x
-1k + kx = -8 + kx2 + 3x

Add '-1kx2' to each side of the equation.
-1k + kx + -1kx2 = -8 + kx2 + -1kx2 + 3x

Combine like terms: kx2 + -1kx2 = 0
-1k + kx + -1kx2 = -8 + 0 + 3x
-1k + kx + -1kx2 = -8 + 3x

Reorder the terms:
8 + -1k + kx + -1kx2 + -3x = -8 + 3x + 8 + -3x

Reorder the terms:
8 + -1k + kx + -1kx2 + -3x = -8 + 8 + 3x + -3x

Combine like terms: -8 + 8 = 0
8 + -1k + kx + -1kx2 + -3x = 0 + 3x + -3x
8 + -1k + kx + -1kx2 + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1k + kx + -1kx2 + -3x = 0

The solution to this equation could not be determined.

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