What is factor 4x^2-16x-9 ?

The solution to factor 4x^2-16x-9 is (2x+1)(2x-9)

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factor 4x^2-16x-9

factor

4 x^{2} - 16 x - 9

(2 x + 1) (2 x - 9)

Solution steps

4 x^{2} - 16 x - 9

Break the expression into groups

= (4 x^{2} + 2 x) + (- 18 x - 9)

Factor out

2 x

from

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

Factor out

- 9

from

- 18 x - 9 : - 9 (2 x + 1)

= 2 x (2 x + 1) - 9 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (2 x - 9)

x^{2} - 3 x \geq 4

y^{2} - 50 = 0

2 (x + 4)^{2} = 40

25 x^{2} + 16 = 40 x

3 x^{2} - 7 x = 6