Please solve this {2}^(2x + 2) + 8 = 33( {2}^(x) ) indicial equations ​

Question

Please solve this


`{2}^(2x + 2) + 8 = 33( {2}^(x) )`
indicial equations
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Answer 1

`{2}^(2x + 2) + 8 = 33( {2}^(x) ) \\ = > ( {2}^(2x) * {2}^(2) ) + 8 = 33( {2}^(x) ) \\ let \: {2}^(x) be \: m \\ = > 4 {m}^(2) + 8 = 33m \\ = > 4 {m}^(2) - 33m + 8 = 0 \\ use \: quadratic \: equation \\ m = \frac{- b \frac{ + }{} \sqrt{( {b}^(2) - 4ac)} }{2a}`