That is the same as solving the equation. There is no single and simple method to solve ANY equation. You have to learn lots of different methods, to solve different types of equations. You might start by picking up an algebra book - to a large part, such books deal with the topic of solving equations.
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It depends on what equations are given.
Area can be used to find lumens. There are specific equations that are used to find lumens and area can be included in these equations. Plug the numbers into the equations and the amount of lumens will be found.
By eliminating or substituting one of the variables in the two equations in order to find the value of the other variable. When this variable is found then substitute its value into the original equations in order to find the value of the other variable.
This is not available in standard fonts; you need special programs to display equations or formulae.
Imaginary numbers are only ever used when you are using the square roots of negative numbers. The square root of -1 is i. You may find imaginary numbers when you are finding roots of equations.