x*-2(1+3k)x+7(3+2k)=0

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Solution for x*-2(1+3k)x+7(3+2k)=0 equation:


Simplifying
x * -2(1 + 3k) * x + 7(3 + 2k) = 0

Reorder the terms for easier multiplication:
-2x * x(1 + 3k) + 7(3 + 2k) = 0

Multiply x * x
-2x2(1 + 3k) + 7(3 + 2k) = 0
(1 * -2x2 + 3k * -2x2) + 7(3 + 2k) = 0

Reorder the terms:
(-6kx2 + -2x2) + 7(3 + 2k) = 0
(-6kx2 + -2x2) + 7(3 + 2k) = 0
-6kx2 + -2x2 + (3 * 7 + 2k * 7) = 0
-6kx2 + -2x2 + (21 + 14k) = 0

Reorder the terms:
21 + 14k + -6kx2 + -2x2 = 0

Solving
21 + 14k + -6kx2 + -2x2 = 0

Solving for variable 'k'.

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

Add '-21' to each side of the equation.
21 + 14k + -6kx2 + -21 + -2x2 = 0 + -21

Reorder the terms:
21 + -21 + 14k + -6kx2 + -2x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 14k + -6kx2 + -2x2 = 0 + -21
14k + -6kx2 + -2x2 = 0 + -21

Combine like terms: 0 + -21 = -21
14k + -6kx2 + -2x2 = -21

Add '2x2' to each side of the equation.
14k + -6kx2 + -2x2 + 2x2 = -21 + 2x2

Combine like terms: -2x2 + 2x2 = 0
14k + -6kx2 + 0 = -21 + 2x2
14k + -6kx2 = -21 + 2x2

Reorder the terms:
21 + 14k + -6kx2 + -2x2 = -21 + 2x2 + 21 + -2x2

Reorder the terms:
21 + 14k + -6kx2 + -2x2 = -21 + 21 + 2x2 + -2x2

Combine like terms: -21 + 21 = 0
21 + 14k + -6kx2 + -2x2 = 0 + 2x2 + -2x2
21 + 14k + -6kx2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
21 + 14k + -6kx2 + -2x2 = 0

The solution to this equation could not be determined.

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