What is (x^2-x-20)/(3x-15) ?

The solution to (x^2-x-20)/(3x-15) is (x+4)/3

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simplify (x^2-x-20)/(3x-15)

simplify

\frac{x ^{2} - x - 20}{3 x - 15}

\frac{x + 4}{3}

Solution steps

\frac{x ^{2} - x - 20}{3 x - 15}

Factor

x^{2} - x - 20 : (x + 4) (x - 5)

= \frac{( x + 4 ) ( x - 5 )}{3 x - 15}

Factor

3 x - 15 : 3 (x - 5)

= \frac{( x + 4 ) ( x - 5 )}{3 ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{x + 4}{3}

\frac{6}{6}

\frac{4}{8}

(5 x - 2 y)^{2}

\frac{16}{36}

5 (- 3.4 k - 7) + (3 k + 21)