What is factor x^2-7x-78 ?

The solution to factor x^2-7x-78 is (x+6)(x-13)

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factor x^2-7x-78

factor

x^{2} - 7 x - 78

(x + 6) (x - 13)

Solution steps

x^{2} - 7 x - 78

Break the expression into groups

= (x^{2} + 6 x) + (- 13 x - 78)

Factor out

x

from

x^{2} + 6 x : x (x + 6)

Factor out

- 13

from

- 13 x - 78 : - 13 (x + 6)

= x (x + 6) - 13 (x + 6)

Factor out common term

x + 6

= (x + 6) (x - 13)

3 x^{2} - 6 x > 0

7 (x + 1) = 4 - 2 (7 x + 5)

\frac{1}{4} - \frac{1}{4}

\frac{4}{5} + \frac{5}{6}

\frac{2 - 2}{2 + 2}