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

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


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

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

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

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

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

Reorder the terms:
2kx + 1x + (ky + -2y) + 4k + 3 = 0
2kx + 1x + (ky + -2y) + 4k + 3 = 0

Reorder the terms:
3 + 4k + 2kx + ky + 1x + -2y = 0

Solving
3 + 4k + 2kx + ky + 1x + -2y = 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 + 4k + 2kx + ky + 1x + -3 + -2y = 0 + -3

Reorder the terms:
3 + -3 + 4k + 2kx + ky + 1x + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4k + 2kx + ky + 1x + -2y = 0 + -3
4k + 2kx + ky + 1x + -2y = 0 + -3

Combine like terms: 0 + -3 = -3
4k + 2kx + ky + 1x + -2y = -3

Add '-1x' to each side of the equation.
4k + 2kx + ky + 1x + -1x + -2y = -3 + -1x

Combine like terms: 1x + -1x = 0
4k + 2kx + ky + 0 + -2y = -3 + -1x
4k + 2kx + ky + -2y = -3 + -1x

Add '2y' to each side of the equation.
4k + 2kx + ky + -2y + 2y = -3 + -1x + 2y

Combine like terms: -2y + 2y = 0
4k + 2kx + ky + 0 = -3 + -1x + 2y
4k + 2kx + ky = -3 + -1x + 2y

Reorder the terms:
3 + 4k + 2kx + ky + x + -2y = -3 + -1x + 2y + 3 + x + -2y

Reorder the terms:
3 + 4k + 2kx + ky + x + -2y = -3 + 3 + -1x + x + 2y + -2y

Combine like terms: -3 + 3 = 0
3 + 4k + 2kx + ky + x + -2y = 0 + -1x + x + 2y + -2y
3 + 4k + 2kx + ky + x + -2y = -1x + x + 2y + -2y

Combine like terms: -1x + x = 0
3 + 4k + 2kx + ky + x + -2y = 0 + 2y + -2y
3 + 4k + 2kx + ky + x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
3 + 4k + 2kx + ky + x + -2y = 0

The solution to this equation could not be determined.

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