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

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

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factor 20x^2+7x-6

factor

20 x^{2} + 7 x - 6

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

Solution steps

20 x^{2} + 7 x - 6

Break the expression into groups

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

Factor out

4 x

from

20 x^{2} - 8 x : 4 x (5 x - 2)

Factor out

3

from

15 x - 6 : 3 (5 x - 2)

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

Factor out common term

5 x - 2

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

3 x^{2} - 35 x + 50

0 = 7 - x^{2}

∣ 2 x - 1 ∣ \leq 7

x + 14 = 82

4 x^{2} + 8 x = 21