to find the unknown variables
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no. an individual step might be, but not all.
to see ifyou made any mistakes
Methods vary considerably depending upon the number of powers in the equation. For example, the method for solving cubics is quite different to solving quadratics etc... It's not really possible to generalise to one technique.
A rational equation is when its solution can be expressed as a fraction
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"