What is factor 2x^2+15x+18 ?

The solution to factor 2x^2+15x+18 is (2x+3)(x+6)

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factor 2x^2+15x+18

factor

2 x^{2} + 15 x + 18

(2 x + 3) (x + 6)

Solution steps

2 x^{2} + 15 x + 18

Break the expression into groups

= (2 x^{2} + 3 x) + (12 x + 18)

Factor out

x

from

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

Factor out

6

from

12 x + 18 : 6 (2 x + 3)

= x (2 x + 3) + 6 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (x + 6)

∣ 7 x - 1 ∣ = 10

x^{2} + 4 x + 8

∣ 2 x - 7 ∣ \geq 1

12 = \frac{5}{2} w

5 x + 2 \leq - 18