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:

x = -3 or x = 5/2

step-by-step explanation:

b and c

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180