X^2+(2k+10)x+k^2+3=0

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Solution for X^2+(2k+10)x+k^2+3=0 equation: 


Simplifying
X2 + (2k + 10) * x + k2 + 3 = 0

Reorder the terms:
X2 + (10 + 2k) * x + k2 + 3 = 0

Reorder the terms for easier multiplication:
X2 + x(10 + 2k) + k2 + 3 = 0
X2 + (10 * x + 2k * x) + k2 + 3 = 0

Reorder the terms:
X2 + (2kx + 10x) + k2 + 3 = 0
X2 + (2kx + 10x) + k2 + 3 = 0

Reorder the terms:
3 + X2 + 2kx + k2 + 10x = 0

Solving
3 + X2 + 2kx + k2 + 10x = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X2 + 2kx + k2 + -3 + 10x = 0 + -3

Reorder the terms:
3 + -3 + X2 + 2kx + k2 + 10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X2 + 2kx + k2 + 10x = 0 + -3
X2 + 2kx + k2 + 10x = 0 + -3

Combine like terms: 0 + -3 = -3
X2 + 2kx + k2 + 10x = -3

Add '-2kx' to each side of the equation.
X2 + 2kx + k2 + -2kx + 10x = -3 + -2kx

Reorder the terms:
X2 + 2kx + -2kx + k2 + 10x = -3 + -2kx

Combine like terms: 2kx + -2kx = 0
X2 + 0 + k2 + 10x = -3 + -2kx
X2 + k2 + 10x = -3 + -2kx

Add '-1k2' to each side of the equation.
X2 + k2 + -1k2 + 10x = -3 + -2kx + -1k2

Combine like terms: k2 + -1k2 = 0
X2 + 0 + 10x = -3 + -2kx + -1k2
X2 + 10x = -3 + -2kx + -1k2

Add '-10x' to each side of the equation.
X2 + 10x + -10x = -3 + -2kx + -1k2 + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 = -3 + -2kx + -1k2 + -10x
X2 = -3 + -2kx + -1k2 + -10x

Simplifying
X2 = -3 + -2kx + -1k2 + -10x

Reorder the terms:
3 + X2 + 2kx + k2 + 10x = -3 + -2kx + -1k2 + -10x + 3 + 2kx + k2 + 10x

Reorder the terms:
3 + X2 + 2kx + k2 + 10x = -3 + 3 + -2kx + 2kx + -1k2 + k2 + -10x + 10x

Combine like terms: -3 + 3 = 0
3 + X2 + 2kx + k2 + 10x = 0 + -2kx + 2kx + -1k2 + k2 + -10x + 10x
3 + X2 + 2kx + k2 + 10x = -2kx + 2kx + -1k2 + k2 + -10x + 10x

Combine like terms: -2kx + 2kx = 0
3 + X2 + 2kx + k2 + 10x = 0 + -1k2 + k2 + -10x + 10x
3 + X2 + 2kx + k2 + 10x = -1k2 + k2 + -10x + 10x

Combine like terms: -1k2 + k2 = 0
3 + X2 + 2kx + k2 + 10x = 0 + -10x + 10x
3 + X2 + 2kx + k2 + 10x = -10x + 10x

Combine like terms: -10x + 10x = 0
3 + X2 + 2kx + k2 + 10x = 0

The solution to this equation could not be determined.

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