What is (9x^2+12x)/(-3x-4) ?

The solution to (9x^2+12x)/(-3x-4) is -3x

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simplify (9x^2+12x)/(-3x-4)

simplify

\frac{9 x ^{2} + 12 x}{- 3 x - 4}

- 3 x

Solution steps

\frac{9 x ^{2} + 12 x}{- 3 x - 4}

Factor

9 x^{2} + 12 x : 3 x (3 x + 4)

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

Factor

- 3 x - 4 : - (3 x + 4)

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

Cancel the common factor:

3 x + 4

= \frac{3 x}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 3 x

4^{2} - 3 n + 8

18 b c^{2} - 24 b^{2} c

- 12 a - 3

- 36 - - 25

y (3 x - 2) + 4 (2 - 3 x)