What is factor 4x^2-12x+5 ?

The solution to factor 4x^2-12x+5 is (2x-1)(2x-5)

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factor 4x^2-12x+5

factor

4 x^{2} - 12 x + 5

(2 x - 1) (2 x - 5)

Solution steps

4 x^{2} - 12 x + 5

Break the expression into groups

= (4 x^{2} - 2 x) + (- 10 x + 5)

Factor out

2 x

from

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

Factor out

- 5

from

- 10 x + 5 : - 5 (2 x - 1)

= 2 x (2 x - 1) - 5 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (2 x - 5)

7 - 13

∣ 4 x - 4 ∣ > 2 x + 8

\frac{3}{2} \cdot \frac{1}{4}

\frac{1}{2} (8 x + 1) \geq 3 x + \frac{5}{2}

∣ 5 x + 6 ∣ + 1 > 15