how many real number solutions does the equation have? 0=3x^2-5x-5

The equation 0=3x^2-5x-5 is a quadratic equation, so it can be solved using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 3, b = -5, and c = -5. Plugging these values into the formula, we get:

x = (5 ± √(25 + 60)) / 6
x = (5 ± √85) / 6

These are two distinct real solutions, so the equation has 2 real number solutions.