What is factor 5x^2-14x+8 ?

The solution to factor 5x^2-14x+8 is (5x-4)(x-2)

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factor 5x^2-14x+8

factor

5 x^{2} - 14 x + 8

(5 x - 4) (x - 2)

Solution steps

5 x^{2} - 14 x + 8

Break the expression into groups

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

Factor out

x

from

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

Factor out

- 2

from

- 10 x + 8 : - 2 (5 x - 4)

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

Factor out common term

5 x - 4

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

6 x = 120

4 (\frac{1}{2})^{2}

5 m^{2} + 7 m = 7

\frac{5 x}{6} - \frac{3 x}{4} = x - 11

x^{2} > 7 x + 18