Find the real or imaginary solutions of each equation by factoring.
2x^2 + 3 = 4x
To solve the equation by factoring, we first rearrange it to have all terms on one side:
2x^2 - 4x + 3 = 0
Now, we can attempt to factor the equation:
(2x - 1)(x - 3) = 0
Setting each factor equal to zero gives us two equations:
2x - 1 = 0
x - 3 = 0
Solving the first equation:
2x = 1
x = 1/2
Solving the second equation:
x = 3
The solutions of the equation are x = 1/2 and x = 3.