What is factor 2x^2-25x+63 ?

The solution to factor 2x^2-25x+63 is (2x-7)(x-9)

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factor 2x^2-25x+63

factor

2 x^{2} - 25 x + 63

(2 x - 7) (x - 9)

Solution steps

2 x^{2} - 25 x + 63

Break the expression into groups

= (2 x^{2} - 7 x) + (- 18 x + 63)

Factor out

x

from

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

Factor out

- 9

from

- 18 x + 63 : - 9 (2 x - 7)

= x (2 x - 7) - 9 (2 x - 7)

Factor out common term

2 x - 7

= (2 x - 7) (x - 9)

r^{2} - 6 r + 13 = 0

\frac{4}{9} x = 12

10 x^{2} - 15 x

∣ 4 (x - 1) + 2 ∣ \leq 26

5 ∣ x + 2 ∣ > 25