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

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


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

Reorder the terms:
x2 + -1x(2(1 + 3k)) + 7(2k + 3) = 0
x2 + -1x((1 * 2 + 3k * 2)) + 7(2k + 3) = 0
x2 + -1x((2 + 6k)) + 7(2k + 3) = 0
x2 + (2 * -1x + 6k * -1x) + 7(2k + 3) = 0

Reorder the terms:
x2 + (-6kx + -2x) + 7(2k + 3) = 0
x2 + (-6kx + -2x) + 7(2k + 3) = 0

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

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

Solving
21 + 14k + -6kx + -2x + x2 = 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 + -6kx + -2x + -21 + x2 = 0 + -21

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

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

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

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

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

Add '-1x2' to each side of the equation.
14k + -6kx + x2 + -1x2 = -21 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
14k + -6kx + 0 = -21 + 2x + -1x2
14k + -6kx = -21 + 2x + -1x2

Reorder the terms:
21 + 14k + -6kx + -2x + x2 = -21 + 2x + -1x2 + 21 + -2x + x2

Reorder the terms:
21 + 14k + -6kx + -2x + x2 = -21 + 21 + 2x + -2x + -1x2 + x2

Combine like terms: -21 + 21 = 0
21 + 14k + -6kx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
21 + 14k + -6kx + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
21 + 14k + -6kx + -2x + x2 = 0 + -1x2 + x2
21 + 14k + -6kx + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
21 + 14k + -6kx + -2x + x2 = 0

The solution to this equation could not be determined.

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