What is (5x+45)/(x^2+5x-36) ?

The solution to (5x+45)/(x^2+5x-36) is 5/(x-4)

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simplify (5x+45)/(x^2+5x-36)

simplify

\frac{5 x + 45}{x ^{2} + 5 x - 36}

\frac{5}{x - 4}

Solution steps

\frac{5 x + 45}{x ^{2} + 5 x - 36}

Factor

5 x + 45 : 5 (x + 9)

= \frac{5 ( x + 9 )}{x ^{2} + 5 x - 36}

Factor

x^{2} + 5 x - 36 : (x - 4) (x + 9)

= \frac{5 ( x + 9 )}{( x - 4 ) ( x + 9 )}

Cancel the common factor:

x + 9

= \frac{5}{x - 4}

\frac{a b ^{2} - 5 ab}{b c - 5 c}

\frac{x ^{3} - 64}{16 - x ^{2}}

- (x - 4)^{2}

\frac{x ^{5} - 3 x ^{2} + 2 x}{x}

lo g_{12} (87.5)