What is factor 5x^2-42x+49 ?

The solution to factor 5x^2-42x+49 is (5x-7)(x-7)

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factor 5x^2-42x+49

factor

5 x^{2} - 42 x + 49

(5 x - 7) (x - 7)

Solution steps

5 x^{2} - 42 x + 49

Break the expression into groups

= (5 x^{2} - 7 x) + (- 35 x + 49)

Factor out

x

from

5 x^{2} - 7 x : x (5 x - 7)

Factor out

- 7

from

- 35 x + 49 : - 7 (5 x - 7)

= x (5 x - 7) - 7 (5 x - 7)

Factor out common term

5 x - 7

= (5 x - 7) (x - 7)

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