The definition of work is (force) times (distance). If you mean you're given the equation and you need to solve it for 'work', then you only need to multiply both sides of the equation by 'time', and you'll have (power) x (time) = (work)

I think you are referring to checking a math equation. After you solve an equation you should go back and check your work to make sure you got the right answer. You can do this by plugging your answer back into the equation

it is a modified version of one of the newtons equation , newton equation cannot define the relation between work and enrgy thats why we generate the relation for work enrgy theorem

The accounting equation displays the relationship between capital, liabilities and the assets. The accounting equation shows that the assets are a sum of the liabilities and the invested capital.

The formula for finding work is: Work = force X distance. To find distance, you must divide both sides by force. After simplifying the equation, the new equation will read: distance = work divided by force

It really depends on the type of equation. Sometimes you can know, from experience with similar equations. But in many cases, you have to actually do the work of trying to solve the equation.

The Arrhenius equation is a formula for the dependence of reaction rates on temperature. The accelerated aging test of a material depends on the Arrhenius equation for it to work.