What is factor-x^2-13x-42 ?

The solution to factor-x^2-13x-42 is -(x+6)(x+7)

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factor-x^2-13x-42

factor

- x^{2} - 13 x - 42

- (x + 6) (x + 7)

Solution steps

- x^{2} - 13 x - 42

Break the expression into groups

= (- x^{2} - 6 x) + (- 7 x - 42)

Factor out

- x

from

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

Factor out

- 7

from

- 7 x - 42 : - 7 (x + 6)

= - x (x + 6) - 7 (x + 6)

Factor out common term

x + 6

= (x + 6) (- x - 7)

Factor

- x - 7 : - (x + 7)

= (x + 6) (- (x + 7))

Apply rule:

a (- b) = - ab

(x + 6) (- (x + 7)) = - (x + 6) (x + 7)

= - (x + 6) (x + 7)

\frac{a}{3} < 3

64 m^{3} - m n^{2}

\frac{x}{8} + x = \frac{3}{16}

(x + 3)^{2} - 3 (x + 3) - 4 = 0

0 = - 4.9 x^{2} + 5