What is factor 3x^2+7x-20 ?

The solution to factor 3x^2+7x-20 is (3x-5)(x+4)

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factor 3x^2+7x-20

factor

3 x^{2} + 7 x - 20

(3 x - 5) (x + 4)

Solution steps

3 x^{2} + 7 x - 20

Break the expression into groups

= (3 x^{2} - 5 x) + (12 x - 20)

Factor out

x

from

3 x^{2} - 5 x : x (3 x - 5)

Factor out

4

from

12 x - 20 : 4 (3 x - 5)

= x (3 x - 5) + 4 (3 x - 5)

Factor out common term

3 x - 5

= (3 x - 5) (x + 4)

∣ 4 x + 2 ∣ + 6 = 0

3 x^{2} + 24 x + 55 = 7

3 (x - 10) = - 9

20 - 3 x = 15

- 0.9 x^{2} + 1.7 x + 2.5 = 0