What is factor (7-x^2)+7x(7-x) ?

The solution to factor (7-x^2)+7x(7-x) is -8(x-(49+5sqrt(105))/(16))(x-(49-5sqrt(105))/(16))

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factor (7-x^2)+7x(7-x)

factor

(7 - x^{2}) + 7 x (7 - x)

- 8 (x - \frac{49 + 5 105}{16}) (x - \frac{49 - 5 105}{16})

Solution steps

(7 - x^{2}) + 7 x (7 - x)

Remove parentheses:

(a) = a

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

Expand

7 x (7 - x) : 49 x - 7 x^{2}

= 7 - x^{2} + 49 x - 7 x^{2}

Simplify

7 - x^{2} + 49 x - 7 x^{2} : - 8 x^{2} + 49 x + 7

= - 8 x^{2} + 49 x + 7

Factor out common term

- 1

= - (8 x^{2} - 49 x - 7)

Factor

8 x^{2} - 49 x - 7 : 8 (x - \frac{49 + 5 105}{16}) (x - \frac{49 - 5 105}{16})

= - 8 (x - \frac{49 + 5 105}{16}) (x - \frac{49 - 5 105}{16})

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What is factor (7-x^2)+7x(7-x) ?
The solution to factor (7-x^2)+7x(7-x) is -8(x-(49+5sqrt(105))/(16))(x-(49-5sqrt(105))/(16))