What is factor x^2-30x+200 ?

The solution to factor x^2-30x+200 is (x-10)(x-20)

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factor x^2-30x+200

factor

x^{2} - 30 x + 200

(x - 10) (x - 20)

Solution steps

x^{2} - 30 x + 200

Break the expression into groups

= (x^{2} - 10 x) + (- 20 x + 200)

Factor out

x

from

x^{2} - 10 x : x (x - 10)

Factor out

- 20

from

- 20 x + 200 : - 20 (x - 10)

= x (x - 10) - 20 (x - 10)

Factor out common term

x - 10

= (x - 10) (x - 20)

x \leq - 6 and x > - 4

\frac{3 x - 2}{2 - 3 x} > 14

3 x + 18 + 5 x - 11 = 2 x + 31

1 (- 2)