What is factor x^2+10x-75 ?

The solution to factor x^2+10x-75 is (x-5)(x+15)

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factor x^2+10x-75

factor

x^{2} + 10 x - 75

(x - 5) (x + 15)

Solution steps

x^{2} + 10 x - 75

Break the expression into groups

= (x^{2} - 5 x) + (15 x - 75)

Factor out

x

from

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

Factor out

15

from

15 x - 75 : 15 (x - 5)

= x (x - 5) + 15 (x - 5)

Factor out common term

x - 5

= (x - 5) (x + 15)

45 \times 45

6 4^{(- \frac{7}{6})}

\frac{4}{5 + 3 i}

32400

3 - \frac{10}{3}