x^2+(3k+2)x+2(2k+2)=0

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Solution for x^2+(3k+2)x+2(2k+2)=0 equation: 


Simplifying
x2 + (3k + 2) * x + 2(2k + 2) = 0

Reorder the terms:
x2 + (2 + 3k) * x + 2(2k + 2) = 0

Reorder the terms for easier multiplication:
x2 + x(2 + 3k) + 2(2k + 2) = 0
x2 + (2 * x + 3k * x) + 2(2k + 2) = 0

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

Reorder the terms:
x2 + 3kx + 2x + 2(2 + 2k) = 0
x2 + 3kx + 2x + (2 * 2 + 2k * 2) = 0
x2 + 3kx + 2x + (4 + 4k) = 0

Reorder the terms:
4 + 4k + 3kx + 2x + x2 = 0

Solving
4 + 4k + 3kx + 2x + x2 = 0

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + 4k + 3kx + 2x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 4k + 3kx + 2x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4k + 3kx + 2x + x2 = 0 + -4
4k + 3kx + 2x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
4k + 3kx + 2x + x2 = -4

Add '-2x' to each side of the equation.
4k + 3kx + 2x + -2x + x2 = -4 + -2x

Combine like terms: 2x + -2x = 0
4k + 3kx + 0 + x2 = -4 + -2x
4k + 3kx + x2 = -4 + -2x

Add '-1x2' to each side of the equation.
4k + 3kx + x2 + -1x2 = -4 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
4k + 3kx + 0 = -4 + -2x + -1x2
4k + 3kx = -4 + -2x + -1x2

Reorder the terms:
4 + 4k + 3kx + 2x + x2 = -4 + -2x + -1x2 + 4 + 2x + x2

Reorder the terms:
4 + 4k + 3kx + 2x + x2 = -4 + 4 + -2x + 2x + -1x2 + x2

Combine like terms: -4 + 4 = 0
4 + 4k + 3kx + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
4 + 4k + 3kx + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
4 + 4k + 3kx + 2x + x2 = 0 + -1x2 + x2
4 + 4k + 3kx + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4 + 4k + 3kx + 2x + x2 = 0

The solution to this equation could not be determined.

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