(x-2)(x-3)=(k-2)(k-3)

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Solution for (x-2)(x-3)=(k-2)(k-3) equation: 


Simplifying
(x + -2)(x + -3) = (k + -2)(k + -3)

Reorder the terms:
(-2 + x)(x + -3) = (k + -2)(k + -3)

Reorder the terms:
(-2 + x)(-3 + x) = (k + -2)(k + -3)

Multiply (-2 + x) * (-3 + x)
(-2(-3 + x) + x(-3 + x)) = (k + -2)(k + -3)
((-3 * -2 + x * -2) + x(-3 + x)) = (k + -2)(k + -3)
((6 + -2x) + x(-3 + x)) = (k + -2)(k + -3)
(6 + -2x + (-3 * x + x * x)) = (k + -2)(k + -3)
(6 + -2x + (-3x + x2)) = (k + -2)(k + -3)

Combine like terms: -2x + -3x = -5x
(6 + -5x + x2) = (k + -2)(k + -3)

Reorder the terms:
6 + -5x + x2 = (-2 + k)(k + -3)

Reorder the terms:
6 + -5x + x2 = (-2 + k)(-3 + k)

Multiply (-2 + k) * (-3 + k)
6 + -5x + x2 = (-2(-3 + k) + k(-3 + k))
6 + -5x + x2 = ((-3 * -2 + k * -2) + k(-3 + k))
6 + -5x + x2 = ((6 + -2k) + k(-3 + k))
6 + -5x + x2 = (6 + -2k + (-3 * k + k * k))
6 + -5x + x2 = (6 + -2k + (-3k + k2))

Combine like terms: -2k + -3k = -5k
6 + -5x + x2 = (6 + -5k + k2)

Add '-6' to each side of the equation.
6 + -5x + -6 + x2 = 6 + -5k + -6 + k2

Reorder the terms:
6 + -6 + -5x + x2 = 6 + -5k + -6 + k2

Combine like terms: 6 + -6 = 0
0 + -5x + x2 = 6 + -5k + -6 + k2
-5x + x2 = 6 + -5k + -6 + k2

Reorder the terms:
-5x + x2 = 6 + -6 + -5k + k2

Combine like terms: 6 + -6 = 0
-5x + x2 = 0 + -5k + k2
-5x + x2 = -5k + k2

Solving
-5x + x2 = -5k + k2

Solving for variable 'x'.

Reorder the terms:
5k + -1k2 + -5x + x2 = -5k + k2 + 5k + -1k2

Reorder the terms:
5k + -1k2 + -5x + x2 = -5k + 5k + k2 + -1k2

Combine like terms: -5k + 5k = 0
5k + -1k2 + -5x + x2 = 0 + k2 + -1k2
5k + -1k2 + -5x + x2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
5k + -1k2 + -5x + x2 = 0

The solution to this equation could not be determined.

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