What is factor 5x^2-39x+28 ?

The solution to factor 5x^2-39x+28 is (5x-4)(x-7)

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factor 5x^2-39x+28

factor

5 x^{2} - 39 x + 28

(5 x - 4) (x - 7)

Solution steps

5 x^{2} - 39 x + 28

Break the expression into groups

= (5 x^{2} - 4 x) + (- 35 x + 28)

Factor out

x

from

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

Factor out

- 7

from

- 35 x + 28 : - 7 (5 x - 4)

= x (5 x - 4) - 7 (5 x - 4)

Factor out common term

5 x - 4

= (5 x - 4) (x - 7)

x + 34 = 2 - x^{4} - x + 16

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

\frac{x - 4}{16} = \frac{9}{4}

- 6 \leq \frac{x + 6}{2} \leq 0

4 m - 30 = - m