What is factor 5x^2+23x+12 ?

The solution to factor 5x^2+23x+12 is (5x+3)(x+4)

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factor 5x^2+23x+12

factor

5 x^{2} + 23 x + 12

(5 x + 3) (x + 4)

Solution steps

5 x^{2} + 23 x + 12

Break the expression into groups

= (5 x^{2} + 3 x) + (20 x + 12)

Factor out

x

from

5 x^{2} + 3 x : x (5 x + 3)

Factor out

4

from

20 x + 12 : 4 (5 x + 3)

= x (5 x + 3) + 4 (5 x + 3)

Factor out common term

5 x + 3

= (5 x + 3) (x + 4)

x (2 x - 5) = 33

\frac{2}{5} \cdot \frac{4}{7}

- 3 x + 2 < - 7

96 \cdot 2

x^{2} + 3 x + 18.25 = 0