x^2+5k=kx+x+9

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Solution for x^2+5k=kx+x+9 equation:


Simplifying
x2 + 5k = kx + x + 9

Reorder the terms:
5k + x2 = kx + x + 9

Reorder the terms:
5k + x2 = 9 + kx + x

Solving
5k + x2 = 9 + kx + x

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.
5k + -1kx + x2 = 9 + kx + -1kx + x

Combine like terms: kx + -1kx = 0
5k + -1kx + x2 = 9 + 0 + x
5k + -1kx + x2 = 9 + x

Add '-1x2' to each side of the equation.
5k + -1kx + x2 + -1x2 = 9 + x + -1x2

Combine like terms: x2 + -1x2 = 0
5k + -1kx + 0 = 9 + x + -1x2
5k + -1kx = 9 + x + -1x2

Reorder the terms:
-9 + 5k + -1kx + -1x + x2 = 9 + x + -1x2 + -9 + -1x + x2

Reorder the terms:
-9 + 5k + -1kx + -1x + x2 = 9 + -9 + x + -1x + -1x2 + x2

Combine like terms: 9 + -9 = 0
-9 + 5k + -1kx + -1x + x2 = 0 + x + -1x + -1x2 + x2
-9 + 5k + -1kx + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
-9 + 5k + -1kx + -1x + x2 = 0 + -1x2 + x2
-9 + 5k + -1kx + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-9 + 5k + -1kx + -1x + x2 = 0

The solution to this equation could not be determined.

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