What is factor 15x^2-7x-4 ?

The solution to factor 15x^2-7x-4 is (3x+1)(5x-4)

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factor 15x^2-7x-4

factor

15 x^{2} - 7 x - 4

(3 x + 1) (5 x - 4)

Solution steps

15 x^{2} - 7 x - 4

Break the expression into groups

= (15 x^{2} + 5 x) + (- 12 x - 4)

Factor out

5 x

from

15 x^{2} + 5 x : 5 x (3 x + 1)

Factor out

- 4

from

- 12 x - 4 : - 4 (3 x + 1)

= 5 x (3 x + 1) - 4 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (5 x - 4)

\frac{b ^{0.8}}{b ^{- 0.2}}

\frac{9}{4} \times 3

\frac{1}{4} \cdot (- \frac{3}{4})

\frac{3}{50}

15 x^{2} \cdot 10 x^{3}