Solve the quadratic equation by factoring, show work. 2x^{2} + x-15=0

x = - 3 or x = 5/2

Step-by-step explanation:

Solve for x:

2 x^2 + x - 15 = 0

The left hand side factors into a product with two terms:

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

Split into two equations:

x + 3 = 0 or 2 x - 5 = 0

Subtract 3 from both sides:

x = - 3 or 2 x - 5 = 0

Add 5 to both sides:

x = - 3 or 2 x = 5

Divide both sides by 2:

Answer: x = - 3 or x = 5/2

X=5/2, - 3

2 times - 15=-30 and 6x plus - 5x=x

(2x^2+6x) (-5x-15)

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

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

2x-5=0

5/2

X+3=0

-3