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Let’s check out your problem:

root(5)(5x+2)=2

5x+25=2 \sqrt[5]{5 x+2}=2

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Full solution

Q. 5x+25=2 \sqrt[5]{5 x+2}=2
  1. Raise to power of 55: Raise both sides to the power of 55 to eliminate the fifth root.(5x+2)=25(5x + 2) = 2^5
  2. Calculate 252^5: Calculate 252^5.
    (5x+2)=32(5x + 2) = 32
  3. Subtract to isolate xx: Subtract 22 from both sides to isolate the term with xx.\newline5x=32−25x = 32 - 2
  4. Calculate 32−232 - 2: Calculate 32−232 - 2.\newline5x=305x = 30
  5. Divide to solve for x: Divide both sides by 55 to solve for xx.\newlinex=305x = \frac{30}{5}
  6. Calculate 30/530 / 5: Calculate 30/530 / 5.\newlinex=6x = 6

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