(2k-1)x^2+4x+2k-3=0

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Solution for (2k-1)x^2+4x+2k-3=0 equation: 


Simplifying
(2k + -1) * x2 + 4x + 2k + -3 = 0

Reorder the terms:
(-1 + 2k) * x2 + 4x + 2k + -3 = 0

Reorder the terms for easier multiplication:
x2(-1 + 2k) + 4x + 2k + -3 = 0
(-1 * x2 + 2k * x2) + 4x + 2k + -3 = 0

Reorder the terms:
(2kx2 + -1x2) + 4x + 2k + -3 = 0
(2kx2 + -1x2) + 4x + 2k + -3 = 0

Reorder the terms:
-3 + 2k + 2kx2 + 4x + -1x2 = 0

Solving
-3 + 2k + 2kx2 + 4x + -1x2 = 0

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 2k + 2kx2 + 4x + 3 + -1x2 = 0 + 3

Reorder the terms:
-3 + 3 + 2k + 2kx2 + 4x + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2k + 2kx2 + 4x + -1x2 = 0 + 3
2k + 2kx2 + 4x + -1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
2k + 2kx2 + 4x + -1x2 = 3

Add '-4x' to each side of the equation.
2k + 2kx2 + 4x + -4x + -1x2 = 3 + -4x

Combine like terms: 4x + -4x = 0
2k + 2kx2 + 0 + -1x2 = 3 + -4x
2k + 2kx2 + -1x2 = 3 + -4x

Add 'x2' to each side of the equation.
2k + 2kx2 + -1x2 + x2 = 3 + -4x + x2

Combine like terms: -1x2 + x2 = 0
2k + 2kx2 + 0 = 3 + -4x + x2
2k + 2kx2 = 3 + -4x + x2

Reorder the terms:
-3 + 2k + 2kx2 + 4x + -1x2 = 3 + -4x + x2 + -3 + 4x + -1x2

Reorder the terms:
-3 + 2k + 2kx2 + 4x + -1x2 = 3 + -3 + -4x + 4x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 2k + 2kx2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-3 + 2k + 2kx2 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-3 + 2k + 2kx2 + 4x + -1x2 = 0 + x2 + -1x2
-3 + 2k + 2kx2 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2k + 2kx2 + 4x + -1x2 = 0

The solution to this equation could not be determined.

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