What is factor 3x^2-2x-5 ?

The solution to factor 3x^2-2x-5 is (x+1)(3x-5)

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factor 3x^2-2x-5

factor

3 x^{2} - 2 x - 5

(x + 1) (3 x - 5)

Solution steps

3 x^{2} - 2 x - 5

Break the expression into groups

= (3 x^{2} + 3 x) + (- 5 x - 5)

Factor out

3 x

from

3 x^{2} + 3 x : 3 x (x + 1)

Factor out

- 5

from

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

= 3 x (x + 1) - 5 (x + 1)

Factor out common term

x + 1

= (x + 1) (3 x - 5)

9 r^{2} + 24 r + 16 = 0

y^{2} - 4 y = 2 y - y^{2}

\frac{4 x + 2}{5} \leq 2

∣ 8 y - 4 ∣ > 10

x^{2} + 4 x < 45