(k-3)x^2+2kx-5x=3-k

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Solution for (k-3)x^2+2kx-5x=3-k equation: 


Simplifying
(k + -3) * x2 + 2kx + -5x = 3 + -1k

Reorder the terms:
(-3 + k) * x2 + 2kx + -5x = 3 + -1k

Reorder the terms for easier multiplication:
x2(-3 + k) + 2kx + -5x = 3 + -1k
(-3 * x2 + k * x2) + 2kx + -5x = 3 + -1k

Reorder the terms:
(kx2 + -3x2) + 2kx + -5x = 3 + -1k
(kx2 + -3x2) + 2kx + -5x = 3 + -1k

Reorder the terms:
2kx + kx2 + -5x + -3x2 = 3 + -1k

Solving
2kx + kx2 + -5x + -3x2 = 3 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
2kx + kx2 + -5x + k + -3x2 = 3 + -1k + k

Reorder the terms:
k + 2kx + kx2 + -5x + -3x2 = 3 + -1k + k

Combine like terms: -1k + k = 0
k + 2kx + kx2 + -5x + -3x2 = 3 + 0
k + 2kx + kx2 + -5x + -3x2 = 3

Add '5x' to each side of the equation.
k + 2kx + kx2 + -5x + 5x + -3x2 = 3 + 5x

Combine like terms: -5x + 5x = 0
k + 2kx + kx2 + 0 + -3x2 = 3 + 5x
k + 2kx + kx2 + -3x2 = 3 + 5x

Add '3x2' to each side of the equation.
k + 2kx + kx2 + -3x2 + 3x2 = 3 + 5x + 3x2

Combine like terms: -3x2 + 3x2 = 0
k + 2kx + kx2 + 0 = 3 + 5x + 3x2
k + 2kx + kx2 = 3 + 5x + 3x2

Reorder the terms:
-3 + k + 2kx + kx2 + -5x + -3x2 = 3 + 5x + 3x2 + -3 + -5x + -3x2

Reorder the terms:
-3 + k + 2kx + kx2 + -5x + -3x2 = 3 + -3 + 5x + -5x + 3x2 + -3x2

Combine like terms: 3 + -3 = 0
-3 + k + 2kx + kx2 + -5x + -3x2 = 0 + 5x + -5x + 3x2 + -3x2
-3 + k + 2kx + kx2 + -5x + -3x2 = 5x + -5x + 3x2 + -3x2

Combine like terms: 5x + -5x = 0
-3 + k + 2kx + kx2 + -5x + -3x2 = 0 + 3x2 + -3x2
-3 + k + 2kx + kx2 + -5x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3 + k + 2kx + kx2 + -5x + -3x2 = 0

The solution to this equation could not be determined.

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