2x^2+2kx+5(k+x)=0

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


Simplifying
2x2 + 2kx + 5(k + x) = 0
2x2 + 2kx + (k * 5 + x * 5) = 0
2x2 + 2kx + (5k + 5x) = 0

Reorder the terms:
5k + 2kx + 5x + 2x2 = 0

Solving
5k + 2kx + 5x + 2x2 = 0

Solving for variable 'k'.

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

Add '-5x' to each side of the equation.
5k + 2kx + 5x + -5x + 2x2 = 0 + -5x

Combine like terms: 5x + -5x = 0
5k + 2kx + 0 + 2x2 = 0 + -5x
5k + 2kx + 2x2 = 0 + -5x
Remove the zero:
5k + 2kx + 2x2 = -5x

Add '-2x2' to each side of the equation.
5k + 2kx + 2x2 + -2x2 = -5x + -2x2

Combine like terms: 2x2 + -2x2 = 0
5k + 2kx + 0 = -5x + -2x2
5k + 2kx = -5x + -2x2

Reorder the terms:
5k + 2kx + 5x + 2x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
5k + 2kx + 5x + 2x2 = 0 + -2x2 + 2x2
5k + 2kx + 5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
5k + 2kx + 5x + 2x2 = 0

The solution to this equation could not be determined.

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