What is factor-10x^2-14y^2+20xy+40x+480y+10000 ?

The solution to factor-10x^2-14y^2+20xy+40x+480y+10000 is 2(-5x^2-7y^2+10xy+20x+240y+5000)

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factor-10x^2-14y^2+20xy+40x+480y+10000

factor

- 10 x^{2} - 14 y^{2} + 20 x y + 40 x + 480 y + 10000

2 (- 5 x^{2} - 7 y^{2} + 10 x y + 20 x + 240 y + 5000)

Solution steps

- 10 x^{2} - 14 y^{2} + 20 x y + 40 x + 480 y + 10000

Rewrite

10000

5000 \cdot 2

Rewrite

480

240 \cdot 2

= 5 \cdot 2 x^{2} + 7 \cdot 2 y^{2} + 10 \cdot 2 x y + 10 \cdot 2 \cdot 2 x + 240 \cdot 2 y + 5000 \cdot 2

Factor out common term

2

= 2 (- 5 x^{2} - 7 y^{2} + 10 x y + 20 x + 240 y + 5000)

17 x > - 17

25 x^{2} + 30 x y + 9 y^{2}

2 b^{2} + 9 b + 9

0.6 n \geq 12 - 0.4 n

- 13 + n + 5 + 6 = 5 + 4 n - 4

What is factor-10x^2-14y^2+20xy+40x+480y+10000 ?
The solution to factor-10x^2-14y^2+20xy+40x+480y+10000 is 2(-5x^2-7y^2+10xy+20x+240y+5000)