an equation that's true for all values is an identity.
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It is the set of values for all the variables in the equation which make the equation true.
The set of all values of x, for which the equation is true is the domain of the function defined by that equation.
It means that you prove that an equation is true for ALL values of the variable or variables involved.
that would be limited to 3 and -3 for values of x
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.