32x - 4 = 4x2 + 60 for the equation shown, choose the description of the solutions.

Two real and equal solutions.

Step-by-step explanation:

We have been given an equation . We are asked to find the type of solutions of our given equation.

First of all, we will gather all terms on left side of our equation using opposite operations:

Dividing our equation by -4 we will get,

To determine the type of solutions for our given problem, we will use discriminant formula.

b = Coefficient of x term,

a = Leading coefficient,

c = Constant term.

Upon substituting our given values in discriminant formula, we will get,

The interpretations for the value of D are as follows:

Since the value of D is equal to 0 for our given equation, therefore, our given equation will have two real and equal roots or solutions.