when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?

-3 + 4*x^2 = - 3 + (2*x)^2

Any value of x is a solution for this eqution.

Step-by-step 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.

answer is x<