What is (3sqrt(x)(x-4))/(2x)-7 ?

The solution to (3sqrt(x)(x-4))/(2x)-7 is (-14sqrt(x)+3x-12)/(2sqrt(x))

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simplify (3sqrt(x)(x-4))/(2x)-7

simplify

\frac{3 x ( x - 4 )}{2 x} - 7

\frac{- 14 x + 3 x - 12}{2 x}

Solution steps

\frac{3 x ( x - 4 )}{2 x} - 7

Cancel

\frac{3 x ( x - 4 )}{2 x} : \frac{3 ( x - 4 )}{2 x}

= \frac{3 ( x - 4 )}{2 x} - 7

Apply the fraction rule:

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

= \frac{- 7 \cdot 2 x + 3 ( x - 4 )}{2 x}

Multiply the numbers:

7 \cdot 2 = 14

= \frac{- 14 x + 3 ( x - 4 )}{2 x}

Simplify

- 14 x + 3 (x - 4) : - 14 x + 3 x - 12

= \frac{- 14 x + 3 x - 12}{2 x}

\frac{1}{36} y (1 - y)

\frac{14}{( x + 2 ) ^{2}}

- \frac{4 ( - 8 x + 3 )}{e ^{4 x}}

2 (1 - \frac{2}{X ^{2} + 2})

\frac{2 \cdot x}{2 \cdot x}

What is (3sqrt(x)(x-4))/(2x)-7 ?
The solution to (3sqrt(x)(x-4))/(2x)-7 is (-14sqrt(x)+3x-12)/(2sqrt(x))