What is factor 15x^2+2x-8 ?

The solution to factor 15x^2+2x-8 is (3x-2)(5x+4)

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factor 15x^2+2x-8

factor

15 x^{2} + 2 x - 8

(3 x - 2) (5 x + 4)

Solution steps

15 x^{2} + 2 x - 8

Break the expression into groups

= (15 x^{2} - 10 x) + (12 x - 8)

Factor out

5 x

from

15 x^{2} - 10 x : 5 x (3 x - 2)

Factor out

4

from

12 x - 8 : 4 (3 x - 2)

= 5 x (3 x - 2) + 4 (3 x - 2)

Factor out common term

3 x - 2

= (3 x - 2) (5 x + 4)

(6 + x)^{2}

\frac{( \frac{5}{8} x ^{3} + 20 x ^{2} - 14 x )}{( 2 x )}

\frac{30}{80}

\frac{30}{11}

\frac{- 2}{x}