What is factor 5x^2+41x-36 ?

The solution to factor 5x^2+41x-36 is (5x-4)(x+9)

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factor 5x^2+41x-36

factor

5 x^{2} + 41 x - 36

(5 x - 4) (x + 9)

Solution steps

5 x^{2} + 41 x - 36

Break the expression into groups

= (5 x^{2} - 4 x) + (45 x - 36)

Factor out

x

from

5 x^{2} - 4 x : x (5 x - 4)

Factor out

9

from

45 x - 36 : 9 (5 x - 4)

= x (5 x - 4) + 9 (5 x - 4)

Factor out common term

5 x - 4

= (5 x - 4) (x + 9)

p m^{2} + 5 m^{2} - q n + p n - q m^{2} + 5 n

\frac{5}{9} (- 67 - 32)

2 a x - ab - a^{2} + 2 b x

11 x^{2} + 8 x - 3 = 0

x^{2} + 10 x = 0