What is factor (x-6)+2x^2 ?

The solution to factor (x-6)+2x^2 is (2x-3)(x+2)

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factor (x-6)+2x^2

factor

(x - 6) + 2 x^{2}

(2 x - 3) (x + 2)

Solution steps

(x - 6) + 2 x^{2}

Remove parentheses:

(a) = a

= x - 6 + 2 x^{2}

Write in the standard form

a x^{2} + b x + c

= 2 x^{2} + x - 6

Break the expression into groups

= (2 x^{2} - 3 x) + (4 x - 6)

Factor out

x

from

2 x^{2} - 3 x : x (2 x - 3)

Factor out

2

from

4 x - 6 : 2 (2 x - 3)

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

Factor out common term

2 x - 3

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

(y)^{4}

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