What is (2x^2+10x-48)/(8x+64) ?

The solution to (2x^2+10x-48)/(8x+64) is (x-3)/4

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simplify (2x^2+10x-48)/(8x+64)

simplify

\frac{2 x ^{2} + 10 x - 48}{8 x + 64}

\frac{x - 3}{4}

Solution steps

\frac{2 x ^{2} + 10 x - 48}{8 x + 64}

Factor

2 x^{2} + 10 x - 48 : 2 (x - 3) (x + 8)

= \frac{2 ( x - 3 ) ( x + 8 )}{8 x + 64}

Factor

8 x + 64 : 8 (x + 8)

= \frac{2 ( x - 3 ) ( x + 8 )}{8 ( x + 8 )}

Cancel the common factor:

x + 8

= \frac{2 ( x - 3 )}{8}

Factor the number:

8 = 2 \cdot 4

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

Cancel the common factor:

2

= \frac{x - 3}{4}

6 y^{4} + 5 y^{2} - 6

9 x^{2} - 36 y^{2}

(x - (3 + 2 i)) (x - (3 - 2 i))

(a^{2} + 2 ab + b^{2}) (a + b)

(9 x^{2} - 9 x + 1) - (12 x^{2} - x - 6)

What is (2x^2+10x-48)/(8x+64) ?
The solution to (2x^2+10x-48)/(8x+64) is (x-3)/4