How many real number solutions does the equation have 0=5x^2+2x-12

A one solution

B two solutions

C infinitely many solutions

D no solutions

Rearrange the equation to standard form of a quadratic equation (ax^2+bx+c=0) by switching sides: 5x^2+2x-12=0. Now, use the quadratic equation formula to solve. You should come out with x_1=sqrt61-1/5 and x_2=-1+sqrt61/5. Thus, your answer is B, or two solutions.