X^2+2(k+1)x+2(k+5)=0

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Solution for X^2+2(k+1)x+2(k+5)=0 equation: 


Simplifying
X2 + 2(k + 1) * x + 2(k + 5) = 0

Reorder the terms:
X2 + 2(1 + k) * x + 2(k + 5) = 0

Reorder the terms for easier multiplication:
X2 + 2x(1 + k) + 2(k + 5) = 0
X2 + (1 * 2x + k * 2x) + 2(k + 5) = 0

Reorder the terms:
X2 + (2kx + 2x) + 2(k + 5) = 0
X2 + (2kx + 2x) + 2(k + 5) = 0

Reorder the terms:
X2 + 2kx + 2x + 2(5 + k) = 0
X2 + 2kx + 2x + (5 * 2 + k * 2) = 0
X2 + 2kx + 2x + (10 + 2k) = 0

Reorder the terms:
10 + X2 + 2k + 2kx + 2x = 0

Solving
10 + X2 + 2k + 2kx + 2x = 0

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X2 + 2k + 2kx + -10 + 2x = 0 + -10

Reorder the terms:
10 + -10 + X2 + 2k + 2kx + 2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + X2 + 2k + 2kx + 2x = 0 + -10
X2 + 2k + 2kx + 2x = 0 + -10

Combine like terms: 0 + -10 = -10
X2 + 2k + 2kx + 2x = -10

Add '-2k' to each side of the equation.
X2 + 2k + 2kx + -2k + 2x = -10 + -2k

Reorder the terms:
X2 + 2k + -2k + 2kx + 2x = -10 + -2k

Combine like terms: 2k + -2k = 0
X2 + 0 + 2kx + 2x = -10 + -2k
X2 + 2kx + 2x = -10 + -2k

Add '-2kx' to each side of the equation.
X2 + 2kx + -2kx + 2x = -10 + -2k + -2kx

Combine like terms: 2kx + -2kx = 0
X2 + 0 + 2x = -10 + -2k + -2kx
X2 + 2x = -10 + -2k + -2kx

Add '-2x' to each side of the equation.
X2 + 2x + -2x = -10 + -2k + -2kx + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 = -10 + -2k + -2kx + -2x
X2 = -10 + -2k + -2kx + -2x

Simplifying
X2 = -10 + -2k + -2kx + -2x

Reorder the terms:
10 + X2 + 2k + 2kx + 2x = -10 + -2k + -2kx + -2x + 10 + 2k + 2kx + 2x

Reorder the terms:
10 + X2 + 2k + 2kx + 2x = -10 + 10 + -2k + 2k + -2kx + 2kx + -2x + 2x

Combine like terms: -10 + 10 = 0
10 + X2 + 2k + 2kx + 2x = 0 + -2k + 2k + -2kx + 2kx + -2x + 2x
10 + X2 + 2k + 2kx + 2x = -2k + 2k + -2kx + 2kx + -2x + 2x

Combine like terms: -2k + 2k = 0
10 + X2 + 2k + 2kx + 2x = 0 + -2kx + 2kx + -2x + 2x
10 + X2 + 2k + 2kx + 2x = -2kx + 2kx + -2x + 2x

Combine like terms: -2kx + 2kx = 0
10 + X2 + 2k + 2kx + 2x = 0 + -2x + 2x
10 + X2 + 2k + 2kx + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + X2 + 2k + 2kx + 2x = 0

The solution to this equation could not be determined.

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