x^2+3k+1=(k+2)x

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


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

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

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

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

Reorder the terms:
1 + 3k + x2 = (kx + 2x)
1 + 3k + x2 = (kx + 2x)

Solving
1 + 3k + x2 = kx + 2x

Solving for variable 'k'.

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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