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)

4 c^{4} + 6 c^{6} + 8 c

2^{k} \geq 150

m^{2} - 36 = 0

x - 6 \leq 15 + 8 x

\frac{2 n}{3} = \frac{n + 14}{5}