What is factor 2x^2+5x-42 ?

The solution to factor 2x^2+5x-42 is (2x-7)(x+6)

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factor 2x^2+5x-42

factor

2 x^{2} + 5 x - 42

(2 x - 7) (x + 6)

Solution steps

2 x^{2} + 5 x - 42

Break the expression into groups

= (2 x^{2} - 7 x) + (12 x - 42)

Factor out

x

from

2 x^{2} - 7 x : x (2 x - 7)

Factor out

6

from

12 x - 42 : 6 (2 x - 7)

= x (2 x - 7) + 6 (2 x - 7)

Factor out common term

2 x - 7

= (2 x - 7) (x + 6)

\frac{x ^{3} y ^{2}}{x ^{2} y ^{2}}

2 x < 5

6 - \frac{1}{4}

3 x (x - 6) + 8 (x - 6)