What is (21x-3x^2)/(6x) ?

The solution to (21x-3x^2)/(6x) is (7-x)/2

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simplify (21x-3x^2)/(6x)

simplify

\frac{21 x - 3 x ^{2}}{6 x}

\frac{7 - x}{2}

Solution steps

\frac{21 x - 3 x ^{2}}{6 x}

Factor

21 x - 3 x^{2} : 3 x (7 - x)

= \frac{3 x ( 7 - x )}{6 x}

Cancel the common factor:

x

= \frac{3 ( 7 - x )}{6}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

= \frac{7 - x}{2}

12 \frac{1}{2} - (- 4 \frac{1}{2})

- 3 (y - 2) + 4 (2 y + 1)

(- sin (t))^{2} + (cos (t))^{2}

8 i

2 \frac{5}{2}