3x^2-4x+5=k(x^2-x-2)

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Solution for 3x^2-4x+5=k(x^2-x-2) equation: 


Simplifying
3x2 + -4x + 5 = k(x2 + -1x + -2)

Reorder the terms:
5 + -4x + 3x2 = k(x2 + -1x + -2)

Reorder the terms:
5 + -4x + 3x2 = k(-2 + -1x + x2)
5 + -4x + 3x2 = (-2 * k + -1x * k + x2 * k)
5 + -4x + 3x2 = (-2k + -1kx + kx2)

Solving
5 + -4x + 3x2 = -2k + -1kx + kx2

Solving for variable 'x'.

Reorder the terms:
5 + 2k + kx + -1kx2 + -4x + 3x2 = -2k + -1kx + kx2 + 2k + kx + -1kx2

Reorder the terms:
5 + 2k + kx + -1kx2 + -4x + 3x2 = -2k + 2k + -1kx + kx + kx2 + -1kx2

Combine like terms: -2k + 2k = 0
5 + 2k + kx + -1kx2 + -4x + 3x2 = 0 + -1kx + kx + kx2 + -1kx2
5 + 2k + kx + -1kx2 + -4x + 3x2 = -1kx + kx + kx2 + -1kx2

Combine like terms: -1kx + kx = 0
5 + 2k + kx + -1kx2 + -4x + 3x2 = 0 + kx2 + -1kx2
5 + 2k + kx + -1kx2 + -4x + 3x2 = kx2 + -1kx2

Combine like terms: kx2 + -1kx2 = 0
5 + 2k + kx + -1kx2 + -4x + 3x2 = 0

The solution to this equation could not be determined.

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