The first step not possible in solving an equation algebraically is not to provide an equation in the first place in which it appears to be so in this case.
You get the exact solution.
yes
It is the solution of the equation
5R=45
Using the quadratic equation formula is a method of solving quadratic equations.
You get the exact solution.
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
yes
Yes it is quite possible
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
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.
No because you always keep an equation in balance when solving it
It is the solution of the equation
Ask someone eles.
It is known as solving the equation.
An equality and equation are essentially the same thing. The equality between two expressions is represented by an equation (and conversely).
Some operations cannot be done. For example, if we take the equation x=2/0, there is no result, because division by 0 is not defined.