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

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


Simplifying
X2 + (2k + -3) * x + 2k = 0

Reorder the terms:
X2 + (-3 + 2k) * x + 2k = 0

Reorder the terms for easier multiplication:
X2 + x(-3 + 2k) + 2k = 0
X2 + (-3 * x + 2k * x) + 2k = 0

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

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

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

Solving for variable 'X'.

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

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

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

Combine like terms: 2k + -2k = 0
X2 + 0 + 2kx + -3x = 0 + -2k
X2 + 2kx + -3x = 0 + -2k
Remove the zero:
X2 + 2kx + -3x = -2k

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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