But what about equations where the variable carries an exponent, like x Solving the first subproblem, x - 2 = 0, gives x = 2. You should observe that as long as a does not equal 0, b must be equal to zero.
In particular, we can set each of the factors equal to zero, and solve the resulting equation for one solution of the original equation.
We can only draw the helpful conclusion about the factors (namely, that one of those factors must have been equal to zero, so we can set the factors equal to zero) if the product itself equals zero.
Create three subproblems by setting each factor equal to zero.
4 = 0 actually has two imaginary number solutions, but we will save Imaginary Numbers for another lesson!