What is (3x^2-8x-3)/(2x^2-6x) ?

The solution to (3x^2-8x-3)/(2x^2-6x) is (3x+1)/(2x)

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simplify (3x^2-8x-3)/(2x^2-6x)

simplify

\frac{3 x ^{2} - 8 x - 3}{2 x ^{2} - 6 x}

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

Solution steps

\frac{3 x ^{2} - 8 x - 3}{2 x ^{2} - 6 x}

Factor

3 x^{2} - 8 x - 3 : (3 x + 1) (x - 3)

= \frac{( 3 x + 1 ) ( x - 3 )}{2 x ^{2} - 6 x}

Factor

2 x^{2} - 6 x : 2 x (x - 3)

= \frac{( 3 x + 1 ) ( x - 3 )}{2 x ( x - 3 )}

Cancel the common factor:

x - 3

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

- \frac{- 4}{2}

- 8 \times (- 4)

(- 3 - t)^{2}

e^{l n (x) c o s (x)}

\frac{4}{5} + \frac{6}{5 x}

What is (3x^2-8x-3)/(2x^2-6x) ?
The solution to (3x^2-8x-3)/(2x^2-6x) is (3x+1)/(2x)