Solving the Equation: (5x2)^2 = 10
This article will guide you through the steps of solving the equation (5x2)^2 = 10.
Step 1: Square Root Both Sides
To eliminate the square, take the square root of both sides of the equation:
√(5x  2)^2 = ±√10
This gives us:
5x  2 = ±√10
Step 2: Isolate the Variable
Now, isolate the variable 'x' by performing the following operations:

Add 2 to both sides:
5x = 2 ± √10

Divide both sides by 5:
x = (2 ± √10)/5
Step 3: Simplify the Solution
The solution for 'x' is:
x = (2 + √10)/5 or x = (2  √10)/5
These are the two possible solutions for the equation (5x2)^2 = 10.
Conclusion
By following the steps outlined above, we have successfully solved the quadratic equation (5x2)^2 = 10. The solutions for 'x' are (2 + √10)/5 and (2  √10)/5.