What is factor (7m-4)(2m-3)+(2-9m) ?

The solution to factor (7m-4)(2m-3)+(2-9m) is 14(m-(19+sqrt(165))/(14))(m-(19-sqrt(165))/(14))

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factor (7m-4)(2m-3)+(2-9m)

factor

(7 m - 4) (2 m - 3) + (2 - 9 m)

14 (m - \frac{19 + 165}{14}) (m - \frac{19 - 165}{14})

Solution steps

(7 m - 4) (2 m - 3) + (2 - 9 m)

Remove parentheses:

(a) = a

= (7 m - 4) (2 m - 3) + 2 - 9 m

Expand

(7 m - 4) (2 m - 3) : 14 m^{2} - 29 m + 12

= 14 m^{2} - 29 m + 12 + 2 - 9 m

Simplify

14 m^{2} - 29 m + 12 + 2 - 9 m : 14 m^{2} - 38 m + 14

= 14 m^{2} - 38 m + 14

Factor out common term

2 : 2 (7 m^{2} - 19 m + 7)

= 2 (7 m^{2} - 19 m + 7)

Factor

7 m^{2} - 19 m + 7 : 7 (m - \frac{19 + 165}{14}) (m - \frac{19 - 165}{14})

= 2 \cdot 7 (m - \frac{19 + 165}{14}) (m - \frac{19 - 165}{14})

Refine

= 14 (m - \frac{19 + 165}{14}) (m - \frac{19 - 165}{14})

32 x^{10} - 243 y^{15}

\frac{1}{2} x + 4

d c + 3 c - a d - 3 a

(5 x)^{2} + 4 (5 x) - 12

x - x^{b - 1} + x^{2}

What is factor (7m-4)(2m-3)+(2-9m) ?
The solution to factor (7m-4)(2m-3)+(2-9m) is 14(m-(19+sqrt(165))/(14))(m-(19-sqrt(165))/(14))