Expressing weird equation in terms of big theta

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one of the questions on my homework is expressing below formula in terms of big Theta.

$f(n)=4f(n-1)+4f(n-2)$

clearly it looks linear homogeneous but when I try to start the solution by $x^2 - 4x - 4=0$, there is no factors.

we have another options to solve it either by expansion which is very costly and not logical or using change of variable which I couldn't do.

anyone has an idea your help is very appreciated.