x^2-6x+9=kx(x-2)

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Solution for x^2-6x+9=kx(x-2) equation: 


Simplifying
x2 + -6x + 9 = kx(x + -2)

Reorder the terms:
9 + -6x + x2 = kx(x + -2)

Reorder the terms:
9 + -6x + x2 = kx(-2 + x)
9 + -6x + x2 = (-2 * kx + x * kx)
9 + -6x + x2 = (-2kx + kx2)

Solving
9 + -6x + x2 = -2kx + kx2

Solving for variable 'x'.

Reorder the terms:
9 + 2kx + -1kx2 + -6x + x2 = -2kx + kx2 + 2kx + -1kx2

Reorder the terms:
9 + 2kx + -1kx2 + -6x + x2 = -2kx + 2kx + kx2 + -1kx2

Combine like terms: -2kx + 2kx = 0
9 + 2kx + -1kx2 + -6x + x2 = 0 + kx2 + -1kx2
9 + 2kx + -1kx2 + -6x + x2 = kx2 + -1kx2

Combine like terms: kx2 + -1kx2 = 0
9 + 2kx + -1kx2 + -6x + x2 = 0

The solution to this equation could not be determined.

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