the firemen succeeded in putting out the fire in the chemica

The firemen succeeded in putting out the fire in the chemical factory.
= The firemen (managed to) put out the fire in the chemical factory.
消防员成功地扑灭了化工厂里面的大火.
succeed in doing sth = manage to do sth 成功做到某事
没有succeed to do sth这样的搭配,倒是有succeed to sb/sth,意思是“继承/继任...”.

managed to

succeeded to
succeed to do = succeed in doing “成功地做了某事”
希望我的回答能够帮到你，望采纳！
祝你学习进步，天天快乐。O(∩_∩)O

managed to