What is factor x^2-20x+75 ?

The solution to factor x^2-20x+75 is (x-5)(x-15)

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factor x^2-20x+75

factor

x^{2} - 20 x + 75

(x - 5) (x - 15)

Solution steps

x^{2} - 20 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)

\frac{5}{2} + 2

3 x^{2} + 19 x - 14 = 0

- \frac{1}{3} (3)

9 r^{2} + 24 r + 16