What is factor 2w^2+7w-15 ?

The solution to factor 2w^2+7w-15 is (2w-3)(w+5)

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factor 2w^2+7w-15

factor

2 w^{2} + 7 w - 15

(2 w - 3) (w + 5)

Solution steps

2 w^{2} + 7 w - 15

Break the expression into groups

= (2 w^{2} - 3 w) + (10 w - 15)

Factor out

w

from

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

Factor out

5

from

10 w - 15 : 5 (2 w - 3)

= w (2 w - 3) + 5 (2 w - 3)

Factor out common term

2 w - 3

= (2 w - 3) (w + 5)

25 x^{2} + 9 = 0

1 - \frac{X}{3} + \frac{1}{5} = \frac{7}{10}

- 2 \leq 12 - 3 x \leq 5

- 1 < 2 - m

2 ∣ 2 x - 7 ∣ + 2 > 16