(2k-x)x+(4k+6)y+(3q-2)=0

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Solution for (2k-x)x+(4k+6)y+(3q-2)=0 equation:


Simplifying
(2k + -1x) * x + (4k + 6) * y + (3q + -2) = 0

Reorder the terms for easier multiplication:
x(2k + -1x) + (4k + 6) * y + (3q + -2) = 0
(2k * x + -1x * x) + (4k + 6) * y + (3q + -2) = 0
(2kx + -1x2) + (4k + 6) * y + (3q + -2) = 0

Reorder the terms:
2kx + -1x2 + (6 + 4k) * y + (3q + -2) = 0

Reorder the terms for easier multiplication:
2kx + -1x2 + y(6 + 4k) + (3q + -2) = 0
2kx + -1x2 + (6 * y + 4k * y) + (3q + -2) = 0

Reorder the terms:
2kx + -1x2 + (4ky + 6y) + (3q + -2) = 0
2kx + -1x2 + (4ky + 6y) + (3q + -2) = 0

Reorder the terms:
2kx + -1x2 + 4ky + 6y + (-2 + 3q) = 0

Remove parenthesis around (-2 + 3q)
2kx + -1x2 + 4ky + 6y + -2 + 3q = 0

Reorder the terms:
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 0

Solving
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 0

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + 2kx + 4ky + 3q + -1x2 + 2 + 6y = 0 + 2

Reorder the terms:
-2 + 2 + 2kx + 4ky + 3q + -1x2 + 6y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2kx + 4ky + 3q + -1x2 + 6y = 0 + 2
2kx + 4ky + 3q + -1x2 + 6y = 0 + 2

Combine like terms: 0 + 2 = 2
2kx + 4ky + 3q + -1x2 + 6y = 2

Add '-3q' to each side of the equation.
2kx + 4ky + 3q + -1x2 + -3q + 6y = 2 + -3q

Reorder the terms:
2kx + 4ky + 3q + -3q + -1x2 + 6y = 2 + -3q

Combine like terms: 3q + -3q = 0
2kx + 4ky + 0 + -1x2 + 6y = 2 + -3q
2kx + 4ky + -1x2 + 6y = 2 + -3q

Add 'x2' to each side of the equation.
2kx + 4ky + -1x2 + x2 + 6y = 2 + -3q + x2

Combine like terms: -1x2 + x2 = 0
2kx + 4ky + 0 + 6y = 2 + -3q + x2
2kx + 4ky + 6y = 2 + -3q + x2

Add '-6y' to each side of the equation.
2kx + 4ky + 6y + -6y = 2 + -3q + x2 + -6y

Combine like terms: 6y + -6y = 0
2kx + 4ky + 0 = 2 + -3q + x2 + -6y
2kx + 4ky = 2 + -3q + x2 + -6y

Reorder the terms:
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 2 + -3q + x2 + -6y + -2 + 3q + -1x2 + 6y

Reorder the terms:
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 2 + -2 + -3q + 3q + x2 + -1x2 + -6y + 6y

Combine like terms: 2 + -2 = 0
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 0 + -3q + 3q + x2 + -1x2 + -6y + 6y
-2 + 2kx + 4ky + 3q + -1x2 + 6y = -3q + 3q + x2 + -1x2 + -6y + 6y

Combine like terms: -3q + 3q = 0
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 0 + x2 + -1x2 + -6y + 6y
-2 + 2kx + 4ky + 3q + -1x2 + 6y = x2 + -1x2 + -6y + 6y

Combine like terms: x2 + -1x2 = 0
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 0 + -6y + 6y
-2 + 2kx + 4ky + 3q + -1x2 + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-2 + 2kx + 4ky + 3q + -1x2 + 6y = 0

The solution to this equation could not be determined.

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