In the scientific method one suggests a hypothesis and then tries to find evidence disproving it. Failure to find evidence that refutes the theory means the theory is true.
This approach is a more robust method of problem solving than suggesting a solution (hypothesis) and then doing experiments to support it.
As Heuer points out in Chapter 4 of his book, a hypothesis (solution) can never be proven by even a large body of evidence since many hypotheses may be consistent with the evidence, but a single instance of incompatible evidence is enough to sink a hypothesis.
When suggesting solutions, plan some experiments that seek to disprove them. If you are unable to cause your solution to fail deliberately, it will be that much stronger.