Please, solve this equation: root(4)(m + 4) – 5 = -2

$$\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}–{5}=-{2}$$

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Szeteib
$$\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}–{5}=-{2}$$
$$\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}–{5}+{5}=-{2}+{5}$$
$$\displaystyle{\sqrt[{{4}}]{{{m}+{4}}}}={3}$$
$$\displaystyle{\left({\sqrt[{{4}}]{{{m}+{4}}}}\right)}^{{4}}={3}^{{4}}$$
$$\displaystyle{m}+{4}={81}$$
$$\displaystyle{m}={81}–{4}$$
$$\displaystyle{m}={77}$$