The general rule is (and it applies, in your case): you report all your income on your resident state return, including the income earned in the other state. Your home state calculates tax on all your income, but gives you a credit, or partial credit, for tax you paid to the other state.
When you worked in a state without an income tax (e.g. Washington), there will be no credit, since there was no WA tax. In other words, having worked in a state without an income tax does not get you out of paying state tax on that income, to your home state.
