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

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


Simplifying
(k + -3) * x2 + 2(k + -4) * x + -4 = 0

Reorder the terms:
(-3 + k) * x2 + 2(k + -4) * x + -4 = 0

Reorder the terms for easier multiplication:
x2(-3 + k) + 2(k + -4) * x + -4 = 0
(-3 * x2 + k * x2) + 2(k + -4) * x + -4 = 0

Reorder the terms:
(kx2 + -3x2) + 2(k + -4) * x + -4 = 0
(kx2 + -3x2) + 2(k + -4) * x + -4 = 0

Reorder the terms:
kx2 + -3x2 + 2(-4 + k) * x + -4 = 0

Reorder the terms for easier multiplication:
kx2 + -3x2 + 2x(-4 + k) + -4 = 0
kx2 + -3x2 + (-4 * 2x + k * 2x) + -4 = 0

Reorder the terms:
kx2 + -3x2 + (2kx + -8x) + -4 = 0
kx2 + -3x2 + (2kx + -8x) + -4 = 0

Reorder the terms:
-4 + 2kx + kx2 + -8x + -3x2 = 0

Solving
-4 + 2kx + kx2 + -8x + -3x2 = 0

Solving for variable 'k'.

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

Add '4' to each side of the equation.
-4 + 2kx + kx2 + -8x + 4 + -3x2 = 0 + 4

Reorder the terms:
-4 + 4 + 2kx + kx2 + -8x + -3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2kx + kx2 + -8x + -3x2 = 0 + 4
2kx + kx2 + -8x + -3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
2kx + kx2 + -8x + -3x2 = 4

Add '8x' to each side of the equation.
2kx + kx2 + -8x + 8x + -3x2 = 4 + 8x

Combine like terms: -8x + 8x = 0
2kx + kx2 + 0 + -3x2 = 4 + 8x
2kx + kx2 + -3x2 = 4 + 8x

Add '3x2' to each side of the equation.
2kx + kx2 + -3x2 + 3x2 = 4 + 8x + 3x2

Combine like terms: -3x2 + 3x2 = 0
2kx + kx2 + 0 = 4 + 8x + 3x2
2kx + kx2 = 4 + 8x + 3x2

Reorder the terms:
-4 + 2kx + kx2 + -8x + -3x2 = 4 + 8x + 3x2 + -4 + -8x + -3x2

Reorder the terms:
-4 + 2kx + kx2 + -8x + -3x2 = 4 + -4 + 8x + -8x + 3x2 + -3x2

Combine like terms: 4 + -4 = 0
-4 + 2kx + kx2 + -8x + -3x2 = 0 + 8x + -8x + 3x2 + -3x2
-4 + 2kx + kx2 + -8x + -3x2 = 8x + -8x + 3x2 + -3x2

Combine like terms: 8x + -8x = 0
-4 + 2kx + kx2 + -8x + -3x2 = 0 + 3x2 + -3x2
-4 + 2kx + kx2 + -8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 2kx + kx2 + -8x + -3x2 = 0

The solution to this equation could not be determined.

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