(a) Find the discriminant of the equation $5 x^{2}+5 x+7=0$. Discriminant $=\square$ (Enter a numeric response) (b) Based on the discriminant, determine whether the equation has two (distinct) solutions, one solution, or two complex solutions. The equation has ? (Select a response)

Step 1 ：Let's find the discriminant of the equation \(5x^{2}+5x+7=0\). The discriminant is given by the formula \(D = b^{2} - 4ac\).

Step 2 ：Substitute \(a = 5\), \(b = 5\), and \(c = 7\) into the formula.

Step 3 ：Calculate the discriminant \(D = (5)^{2} - 4*5*7\).

Step 4 ：The discriminant \(D = -115\).

Step 5 ：Since the discriminant is less than 0, the quadratic equation has two complex solutions.

Step 6 ：Final Answer: The discriminant of the equation \(5x^{2}+5x+7=0\) is \(\boxed{-115}\).