1) Set y = 0 in the equation y = f(x) (or identify x-axis crossings on the graph).
2) Solve f(x) = 0 for x (find all real roots).
3) If f(x) factors, set each factor to zero and solve.
4) Use appropriate method by type: linear x = -b/a; quadratic via factoring or quadratic formula; higher-degree by factoring or numerical methods.
5) If a graph is given, read off all x-values where the graph crosses the x-axis.
6) Verify each candidate x in the original equation (and report intercepts as (x, 0)).