Question

2x square - 7x - 15

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Answer 1

Answer:

(2x + 3) (x - 5)

Step-by-step explanation:  (This is for factoring)

1. 2x^2 -7x -15

( You break -7x into 3x and -10x) because when you add, you can get the same answer.

2. 2x^2 + 3x -10x -15

⬇Now you take out x

3. x ( 2x + 3) - 10x - 15

⬇Now take out -5

4. x ( 2x + 3) -5 ( 2x + 3)

⬇Pull out 2x + 3

Answer ~

(2x + 3) (x - 5)

Answer 2

Answer:

 x = $-\frac{3}{2}$  OR   x = 5

Step-by-step explanation:

2$x^{2}$ - 7x - 15 = 0

First term x last term = 2 * -15 = 30

Splitting 30 into two term we get -10 & +3

So the equation will be

2$x^{2}$ - 10x + 3x - 15 = 0

2x(x - 5) + 3(x - 5) = 0

(2x + 3) (x - 5) = 0

So we get,

2x + 3 = 0    OR    x - 5 = 0

x = $-\frac{3}{2}$  OR   x = 5