What is (7x^2-25x-12)/(7x-28) ?

The solution to (7x^2-25x-12)/(7x-28) is (7x+3)/7

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simplify (7x^2-25x-12)/(7x-28)

simplify

\frac{7 x ^{2} - 25 x - 12}{7 x - 28}

\frac{7 x + 3}{7}

Solution steps

\frac{7 x ^{2} - 25 x - 12}{7 x - 28}

Factor

7 x^{2} - 25 x - 12 : (7 x + 3) (x - 4)

= \frac{( 7 x + 3 ) ( x - 4 )}{7 x - 28}

Factor

7 x - 28 : 7 (x - 4)

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

Cancel the common factor:

x - 4

= \frac{7 x + 3}{7}

12 x^{2} + 22 x + 8

\frac{6 y - 9 y}{9 x y}

- 3 x^{2} + 15 x + 108

25 x^{4} - 10 x^{2} y^{2} + y^{4} - 100

cos^{2} (a) - sin^{2} (a)

What is (7x^2-25x-12)/(7x-28) ?
The solution to (7x^2-25x-12)/(7x-28) is (7x+3)/7