What is factor 10x^2-3x-27 ?

The solution to factor 10x^2-3x-27 is (2x+3)(5x-9)

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factor 10x^2-3x-27

factor

10 x^{2} - 3 x - 27

(2 x + 3) (5 x - 9)

Solution steps

10 x^{2} - 3 x - 27

Break the expression into groups

= (10 x^{2} + 15 x) + (- 18 x - 27)

Factor out

5 x

from

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

Factor out

- 9

from

- 18 x - 27 : - 9 (2 x + 3)

= 5 x (2 x + 3) - 9 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (5 x - 9)

n^{2} - 100

2 x^{2} - 4 x = - 1

- (x - (1 0^{- 5}))^{2} = (3.12 \cdot 1 0^{- 5})

6 x (x - 1) = 2 - 5 x

3 x - 10 < 5 x - 2