What is (2x^2-4x-6)/(3x^2-6x-9) ?

The solution to (2x^2-4x-6)/(3x^2-6x-9) is 2/3

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simplify (2x^2-4x-6)/(3x^2-6x-9)

simplify

\frac{2 x ^{2} - 4 x - 6}{3 x ^{2} - 6 x - 9}

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

\frac{2 x ^{2} - 4 x - 6}{3 x ^{2} - 6 x - 9}

Factor

2 x^{2} - 4 x - 6 : 2 (x + 1) (x - 3)

= \frac{2 ( x + 1 ) ( x - 3 )}{3 x ^{2} - 6 x - 9}

Factor

3 x^{2} - 6 x - 9 : 3 (x + 1) (x - 3)

= \frac{2 ( x + 1 ) ( x - 3 )}{3 ( x + 1 ) ( x - 3 )}

Cancel the common factor:

x + 1

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

Cancel the common factor:

x - 3

= \frac{2}{3}

4 p - 5 (p + 6)

\frac{12}{x ^{2} + 5 x - 24} + \frac{3}{x - 3}

\frac{4 !}{( 4 - 3 ) !}

- 2 x + 3 x

(2 x - 3) (- 2 x^{2} - 5 x - 8)

What is (2x^2-4x-6)/(3x^2-6x-9) ?
The solution to (2x^2-4x-6)/(3x^2-6x-9) is 2/3