What is 5/7 x(7x-49/50) ?

The solution to 5/7 x(7x-49/50) is (x(50x-7))/(10)

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simplify 5/7 x(7x-49/50)

simplify

\frac{5}{7} x (7 x - \frac{49}{50})

\frac{x ( 50 x - 7 )}{10}

Solution steps

\frac{5}{7} x (7 x - \frac{49}{50})

Join

7 x - \frac{49}{50} : \frac{350 x - 49}{50}

= \frac{5}{7} x \frac{350 x - 49}{50}

Apply the fraction rule:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{5 x ( 350 x - 49 )}{7 \cdot 50}

Factor the number:

50 = 5 \cdot 10

= \frac{5 x ( 350 x - 49 )}{7 \cdot 5 \cdot 10}

Cancel the common factor:

5

= \frac{x ( 350 x - 49 )}{7 \cdot 10}

Factor

350 x - 49 : 7 (50 x - 7)

= \frac{x \cdot 7 ( 50 x - 7 )}{7 \cdot 10}

Cancel the common factor:

7

= \frac{x ( 50 x - 7 )}{10}

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