What is factor 8x^2-30x+25 ?

The solution to factor 8x^2-30x+25 is (4x-5)(2x-5)

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factor 8x^2-30x+25

factor

8 x^{2} - 30 x + 25

(4 x - 5) (2 x - 5)

Solution steps

8 x^{2} - 30 x + 25

Break the expression into groups

= (8 x^{2} - 10 x) + (- 20 x + 25)

Factor out

2 x

from

8 x^{2} - 10 x : 2 x (4 x - 5)

Factor out

- 5

from

- 20 x + 25 : - 5 (4 x - 5)

= 2 x (4 x - 5) - 5 (4 x - 5)

Factor out common term

4 x - 5

= (4 x - 5) (2 x - 5)

9 - w^{2} - (3 - w)^{2}

5 x^{2} + 5 x + 4 = 0

x^{2} + 5 x + 24 < 0

\frac{x}{2 x - 3} \leq 1

2 (2 x + 3) + 8 = 2 x + x + 20