X^2+3x-kx+2k-1=0

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Solution for X^2+3x-kx+2k-1=0 equation:


Simplifying
X2 + 3x + -1kx + 2k + -1 = 0

Reorder the terms:
-1 + X2 + 2k + -1kx + 3x = 0

Solving
-1 + X2 + 2k + -1kx + 3x = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + 2k + -1kx + 1 + 3x = 0 + 1

Reorder the terms:
-1 + 1 + X2 + 2k + -1kx + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X2 + 2k + -1kx + 3x = 0 + 1
X2 + 2k + -1kx + 3x = 0 + 1

Combine like terms: 0 + 1 = 1
X2 + 2k + -1kx + 3x = 1

Add '-2k' to each side of the equation.
X2 + 2k + -1kx + -2k + 3x = 1 + -2k

Reorder the terms:
X2 + 2k + -2k + -1kx + 3x = 1 + -2k

Combine like terms: 2k + -2k = 0
X2 + 0 + -1kx + 3x = 1 + -2k
X2 + -1kx + 3x = 1 + -2k

Add 'kx' to each side of the equation.
X2 + -1kx + kx + 3x = 1 + -2k + kx

Combine like terms: -1kx + kx = 0
X2 + 0 + 3x = 1 + -2k + kx
X2 + 3x = 1 + -2k + kx

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 1 + -2k + kx + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 = 1 + -2k + kx + -3x
X2 = 1 + -2k + kx + -3x

Simplifying
X2 = 1 + -2k + kx + -3x

Reorder the terms:
-1 + X2 + 2k + -1kx + 3x = 1 + -2k + kx + -3x + -1 + 2k + -1kx + 3x

Reorder the terms:
-1 + X2 + 2k + -1kx + 3x = 1 + -1 + -2k + 2k + kx + -1kx + -3x + 3x

Combine like terms: 1 + -1 = 0
-1 + X2 + 2k + -1kx + 3x = 0 + -2k + 2k + kx + -1kx + -3x + 3x
-1 + X2 + 2k + -1kx + 3x = -2k + 2k + kx + -1kx + -3x + 3x

Combine like terms: -2k + 2k = 0
-1 + X2 + 2k + -1kx + 3x = 0 + kx + -1kx + -3x + 3x
-1 + X2 + 2k + -1kx + 3x = kx + -1kx + -3x + 3x

Combine like terms: kx + -1kx = 0
-1 + X2 + 2k + -1kx + 3x = 0 + -3x + 3x
-1 + X2 + 2k + -1kx + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + X2 + 2k + -1kx + 3x = 0

The solution to this equation could not be determined.

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