What is factor 6x^2+7x-20 ?

The solution to factor 6x^2+7x-20 is (3x-4)(2x+5)

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factor 6x^2+7x-20

factor

6 x^{2} + 7 x - 20

(3 x - 4) (2 x + 5)

Solution steps

6 x^{2} + 7 x - 20

Break the expression into groups

= (6 x^{2} - 8 x) + (15 x - 20)

Factor out

2 x

from

6 x^{2} - 8 x : 2 x (3 x - 4)

Factor out

5

from

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

= 2 x (3 x - 4) + 5 (3 x - 4)

Factor out common term

3 x - 4

= (3 x - 4) (2 x + 5)

1 + \frac{2}{3}

3 x^{2} + 2 x = x^{2} - x

- 3 (x - 3) - 1 = - 3 x + 8

- 3 - 4 (t - 4) = - 7

P \cdot 2 = 40 - 6