The value of the discriminant for the equation $4 x^{2}=5 x+3$ is

Step 1 ：The given equation is \(4x^{2}=5x+3\). We can rewrite this in the form \(ax^2 + bx + c = 0\) as \(4x^2 - 5x + 3 = 0\).

Step 2 ：In this case, \(a = 4\), \(b = -5\), and \(c = 3\).

Step 3 ：The discriminant of a quadratic equation is given by the formula \(b^2 - 4ac\).

Step 4 ：Substituting the values of \(a\), \(b\), and \(c\) into the formula, we get the discriminant as \(-23\).

Step 5 ：So, the value of the discriminant for the equation \(4 x^{2}=5 x+3\) is \(\boxed{-23}\).