What is factor 4r^2-4r-3 ?

The solution to factor 4r^2-4r-3 is (2r+1)(2r-3)

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factor 4r^2-4r-3

factor

4 r^{2} - 4 r - 3

(2 r + 1) (2 r - 3)

Solution steps

4 r^{2} - 4 r - 3

Break the expression into groups

= (4 r^{2} + 2 r) + (- 6 r - 3)

Factor out

2 r

from

4 r^{2} + 2 r : 2 r (2 r + 1)

Factor out

- 3

from

- 6 r - 3 : - 3 (2 r + 1)

= 2 r (2 r + 1) - 3 (2 r + 1)

Factor out common term

2 r + 1

= (2 r + 1) (2 r - 3)

5 (8 + 3 x) = 100

x^{2} + 1 x - 12

2 x + 1 = 5 x + 4

2 x + 5 = 3 x

2 x + 4 < 2