What is factor w^2-w-42 ?

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

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factor w^2-w-42

factor

w^{2} - w - 42

(w + 6) (w - 7)

Solution steps

w^{2} - w - 42

Break the expression into groups

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

Factor out

w

from

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

Factor out

- 7

from

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

= w (w + 6) - 7 (w + 6)

Factor out common term

w + 6

= (w + 6) (w - 7)

2 x = 13

x^{2} < 6 - 5 x

3 - \frac{1}{4}

2 x^{2} - 28 = 0

16 x - 4 + 5 x = - 67