What is ((12x^2+29x+15))/((4x+3)) ?

The solution to ((12x^2+29x+15))/((4x+3)) is 3x+5

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simplify ((12x^2+29x+15))/((4x+3))

simplify

\frac{( 12 x ^{2} + 29 x + 15 )}{( 4 x + 3 )}

3 x + 5

Solution steps

\frac{12 x ^{2} + 29 x + 15}{4 x + 3}

Factor

12 x^{2} + 29 x + 15 : (4 x + 3) (3 x + 5)

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

Cancel the common factor:

4 x + 3

= 3 x + 5

\frac{3}{5} \times \frac{2}{3}

2 x - 5 x^{2}

(x + 1) (x + 2) (x - 2)

18 x^{5}

(3 x + 2) (x - 5)

What is ((12x^2+29x+15))/((4x+3)) ?
The solution to ((12x^2+29x+15))/((4x+3)) is 3x+5