What is factor 3x^2-7x-10 ?

The solution to factor 3x^2-7x-10 is (x+1)(3x-10)

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factor 3x^2-7x-10

factor

3 x^{2} - 7 x - 10

(x + 1) (3 x - 10)

Solution steps

3 x^{2} - 7 x - 10

Break the expression into groups

= (3 x^{2} + 3 x) + (- 10 x - 10)

Factor out

3 x

from

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

Factor out

- 10

from

- 10 x - 10 : - 10 (x + 1)

= 3 x (x + 1) - 10 (x + 1)

Factor out common term

x + 1

= (x + 1) (3 x - 10)

25 r^{2} + 80 r + 64 = 0

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

x^{2} + 13 x + 12 = 0

\frac{- 7}{3}

x + 6 > 1