what is the solution set for 2x^ +15 = -11x

Answer 1

To find the solution set for the equation 2x^2 + 15 = -11x, we need to first rewrite the equation in standard form by moving all terms to one side of the equation:

2x^2 + 11x + 15 = 0

Now, we can factorize the quadratic equation to solve for x:

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

Setting each factor to zero and solving for x, we get two possible solutions:

2x + 5 = 0
2x = -5
x = -5/2

and

x + 3 = 0
x = -3

Therefore, the solution set for the equation 2x^2 + 15 = -11x is {-5/2, -3}.