To solve the equation 7x = 4x^2, we need to rearrange it to get the quadratic equation in standard form:

7x = 4x^2
4x^2 - 7x = 0
x(4x - 7) = 0

This gives us two possible solutions:
x = 0
4x - 7 = 0
4x = 7
x = 7/4

Next, we need to solve the equation 5x^2 - 3 = 0:

5x^2 - 3 = 0
5x^2 = 3
x^2 = 3/5
x = ±√(3/5)

So the solutions to the equations are:
x = 0, 7/4, ±√(3/5)