What is factor 7x^2+23x-20 ?

The solution to factor 7x^2+23x-20 is (7x-5)(x+4)

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factor 7x^2+23x-20

factor

7 x^{2} + 23 x - 20

(7 x - 5) (x + 4)

Solution steps

7 x^{2} + 23 x - 20

Break the expression into groups

= (7 x^{2} - 5 x) + (28 x - 20)

Factor out

x

from

7 x^{2} - 5 x : x (7 x - 5)

Factor out

4

from

28 x - 20 : 4 (7 x - 5)

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

Factor out common term

7 x - 5

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

4 ∣ 5 + 6 x ∣ \geq 20

\frac{3}{8} + \frac{6}{7}

5 x^{2} + 5 x + 3 < 0

- 5 x - 4 + 6 x = 6

8 x + 4 + x + 6 + 2 x + 5 = 180