Final answer
The solution for the equation 5x⁷/⁵-10=0 is x=2.
Explanation
In order to solve this equation, the first step is to factor out 5 from the equation. This can be done by dividing both sides of the equation by 5 such that 5x⁷/⁵-10/5 = 0/5.
As 5/5 is equal to 1, the equation simplifies to x⁷-2=0. The next step is to take the seventh root of both sides of the equation to get the solution. Taking the seventh root of both sides we get x-2=0, meaning the solution to the equation is x=2.
Therefore, the solution for the equation 5x⁷/⁵-10=0 is x=2.