Are you using a default SP task form or customized using Infopath or Nintex Forms?
I'm using a Custom Task Form from the Nintex Workflow Designer (so a Nintex Office 365 Form)
So if I understood you properly, below you should find a solution for your question 
So first you should open the "Assign task" or "Start task process" action (depending which you use). You may see a situation like below, that the icon to customize a form is inactive:
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To activate it you have to add Nintex app to the site you store your workflow. Go to site settings, then "New", and choose "Nintex Form for Office 365":
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After it is added open your workflow again.
Before editing a form be aware, that your variable is set as "Multiple lines". Click on the "Variables" button on the Workflow Designer's ribbon:
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then click the variable you want to be a multiline. Be sure you have the checkbox "Initiation" checked. Then click the small gear icon next to the checkbox:
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On the opened form with variable settings, check the field "Multiple lines":
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Now, when you drag and drop your variable onto the Nintex Form the variable is presented as a multiline field:
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The same for the "Initiation form":
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Regards,
Tomasz
That worked.
And since I did not want to have a 'Initiation form' just unchecking the 'Initiation' checkbox did that (whil keeping the multiline field in the Task Form.
Hi ,
glad you found a solution. Can you please mark answer as correct so others can see that a solution for your issue has been found?
Thanks
Philipp