Answer: -3 + 4*x^2 = - 3 + (2*x)^2
Any value of x is a solution for this eqution.
Explanation:
She ended with -3 = -3
This is trivial, if we had an equation with one variable, something like:
f(x) = equation.
Ending with something like -3 = -3 means that we do not have any restriction with respect to x, so x could take any value.
This will happen if the terms with x in the left side are exactly the same as the terms in the right side, for exampe:
-3 + 4*x^2 = -3 + 4*x^2
In that case, we can substrrat 4*x^2 in both sides, and we will end with:
-3 = -3
This means that the solution for this equation is any value of x.
We also could rewrite this as:
-3 + 4*x^2 = - 3 + (2*x)^2
So the terms look different, but the terms are exactly the same for any value of x.