What is factor 10x^2-3x-4 ?

The solution to factor 10x^2-3x-4 is (2x+1)(5x-4)

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factor 10x^2-3x-4

factor

10 x^{2} - 3 x - 4

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

Solution steps

10 x^{2} - 3 x - 4

Break the expression into groups

= (10 x^{2} + 5 x) + (- 8 x - 4)

Factor out

5 x

from

10 x^{2} + 5 x : 5 x (2 x + 1)

Factor out

- 4

from

- 8 x - 4 : - 4 (2 x + 1)

= 5 x (2 x + 1) - 4 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (5 x - 4)

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

4 y + 8 = 0

x^{2} - 2 x = 53

(x \frac{3}{4})^{4}

8 - 12 x = - 2 x - 27