What is factor 3b^2+13b-30 ?

The solution to factor 3b^2+13b-30 is (3b-5)(b+6)

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factor 3b^2+13b-30

factor

3 b^{2} + 13 b - 30

(3 b - 5) (b + 6)

Solution steps

3 b^{2} + 13 b - 30

Break the expression into groups

= (3 b^{2} - 5 b) + (18 b - 30)

Factor out

b

from

3 b^{2} - 5 b : b (3 b - 5)

Factor out

6

from

18 b - 30 : 6 (3 b - 5)

= b (3 b - 5) + 6 (3 b - 5)

Factor out common term

3 b - 5

= (3 b - 5) (b + 6)

2 x + 4 = x - 6

(8 x + 3)^{2} = 144

x^{2} - 3 x + 4 = (x + 7) (x - 12) (5)

∣ 3 x + 4 ∣ < 8

\frac{5}{11} x - \frac{5}{3} < \frac{2}{3} x + \frac{5}{11}