What is (x^2-5x+6)/(2ax-6a) ?

The solution to (x^2-5x+6)/(2ax-6a) is (x-2)/(2a)

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simplify (x^2-5x+6)/(2ax-6a)

simplify

\frac{x ^{2} - 5 x + 6}{2 a x - 6 a}

\frac{x - 2}{2 a}

Solution steps

\frac{x ^{2} - 5 x + 6}{2 a x - 6 a}

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

= \frac{( x - 2 ) ( x - 3 )}{2 a x - 6 a}

Factor

2 x a - 6 a : 2 a (x - 3)

= \frac{( x - 2 ) ( x - 3 )}{2 a ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x - 2}{2 a}

\frac{4 2}{2}

7 - (- 8)

\frac{34}{5}

- 50

(x + 2) (x + 2)