What is (8a-18)/(3a^2+14a+8)+7/(3a+2) ?

The solution to (8a-18)/(3a^2+14a+8)+7/(3a+2) is 5/(a+4)

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simplify (8a-18)/(3a^2+14a+8)+7/(3a+2)

simplify

\frac{8 a - 18}{3 a ^{2} + 14 a + 8} + \frac{7}{3 a + 2}

\frac{5}{a + 4}

Solution steps

\frac{8 a - 18}{3 a ^{2} + 14 a + 8} + \frac{7}{3 a + 2}

Least Common Multiplier of

3 a^{2} + 14 a + 8, 3 a + 2 : (a + 4) (3 a + 2)

Adjust Fractions based on the LCM

= \frac{8 a - 18}{( a + 4 ) ( 3 a + 2 )} + \frac{7 ( a + 4 )}{( a + 4 ) ( 3 a + 2 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{8 a - 18 + 7 ( a + 4 )}{( a + 4 ) ( 3 a + 2 )}

Simplify

8 a - 18 + 7 (a + 4) : 15 a + 10

= \frac{15 a + 10}{( a + 4 ) ( 3 a + 2 )}

Cancel

\frac{15 a + 10}{( a + 4 ) ( 3 a + 2 )} : \frac{5}{a + 4}

= \frac{5}{a + 4}

\frac{\frac{8}{7}}{( - \frac{10}{9} )}

4 x^{2} - (x + 1)^{2} = 0

- \frac{x}{2} - 6 > 1

7 (2 + 5 v) = 3 v + 14

3 x^{3} + 4 x^{2} - 5 x - 2

What is (8a-18)/(3a^2+14a+8)+7/(3a+2) ?
The solution to (8a-18)/(3a^2+14a+8)+7/(3a+2) is 5/(a+4)