Final answer:
To find the value of the variable, one must simplify the algebra, solve the equation, and then check to ensure the result is reasonable, using proper units and confirming the solution makes sense.
Step-by-step explanation:
When attempting to find the value of the variable, it is essential to eliminate terms wherever possible to simplify the algebra. For example, in dealing with an equation, simplifying fractions or combining like terms can make the problem more manageable. In problems involving powers and roots, knowing how to work with them is crucial. The expression √x2 = √x helps us understand that to solve for 'x', we can re-express terms as fractional powers, which assists in simplifying the algebra.
Once you have simplified the algebra, solve the appropriate equation for the quantity to be determined. After finding a solution, always check your answer to see if it is reasonable. Does it make sense? Are the units (if any) correct? Are the numbers involved reasonable? This validation step is crucial in confirming that you have approached the problem correctly.