What is (12)/(2x+3)+1/2 ?

The solution to (12)/(2x+3)+1/2 is (2x+27)/(2(2x+3))

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simplify (12)/(2x+3)+1/2

simplify

\frac{12}{2 x + 3} + \frac{1}{2}

\frac{2 x + 27}{2 ( 2 x + 3 )}

Solution steps

\frac{12}{2 x + 3} + \frac{1}{2}

Least Common Multiplier of

2 x + 3, 2 : 2 (2 x + 3)

Adjust Fractions based on the LCM

= \frac{24}{2 ( 2 x + 3 )} + \frac{2 x + 3}{2 ( 2 x + 3 )}

Apply the fraction rule:

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

= \frac{24 + 2 x + 3}{2 ( 2 x + 3 )}

Simplify

24 + 2 x + 3 : 2 x + 27

= \frac{2 x + 27}{2 ( 2 x + 3 )}

\frac{3}{2} x^{\frac{2}{3}}

- \frac{1}{1 - x ^{2}}

+ 35 - 2 x - x^{2}

- 24