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

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

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factor 5x^2-12x+4

factor

5 x^{2} - 12 x + 4

(5 x - 2) (x - 2)

Solution steps

5 x^{2} - 12 x + 4

Break the expression into groups

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

Factor out

x

from

5 x^{2} - 2 x : x (5 x - 2)

Factor out

- 2

from

- 10 x + 4 : - 2 (5 x - 2)

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

Factor out common term

5 x - 2

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

x^{2} + 16 = 8 x

- 30 < - 4 x

9 x^{2} - 12 x + 4 = 0

(\frac{x ^{2}}{x - 5}) \geq 0

1 \cdot \frac{1}{2}