What is factor 5x^2-3xy-14y^2 ?

The solution to factor 5x^2-3xy-14y^2 is (5x+7y)(x-2y)

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factor 5x^2-3xy-14y^2

factor

5 x^{2} - 3 x y - 14 y^{2}

(5 x + 7 y) (x - 2 y)

Solution steps

5 x^{2} - 3 x y - 14 y^{2}

Break the expression into groups

= (5 x^{2} + 7 x y) + (- 10 x y - 14 y^{2})

Factor out

x

from

5 x^{2} + 7 x y : x (5 x + 7 y)

Factor out

- 2 y

from

- 10 x y - 14 y^{2} : - 2 y (5 x + 7 y)

= x (5 x + 7 y) - 2 y (5 x + 7 y)

Factor out common term

5 x + 7 y

= (5 x + 7 y) (x - 2 y)

4 x^{2} + 8 x + 3 = 0

k^{2} - 196 = 0

3.44 x = 43.688

4 r^{2} - 108 r = - 20

x + (x \cdot 0.1 x) = 75

What is factor 5x^2-3xy-14y^2 ?
The solution to factor 5x^2-3xy-14y^2 is (5x+7y)(x-2y)