Hi Student!
The goal of this question is to determine x = 0 is a solution of the expression that was provided. The first step that we must take is input 0 into all of the x's that we have in the expression. Then we just simplify both sides and determine if the end expression is true and if it is then x = 0 is a solution.
Plug in the values
- [tex]1^3 + 1(1 - 1) = 1 - x^2[/tex]
- [tex]1^3 + 1(1 - 1) = 1 - (0)^2[/tex]
Simplify both sides
- [tex]1^3 + 1(0) = 1 - 0[/tex]
Looking at the final expression, we can see that 1 is indeed equal to 1 and since the expression is true, we can say that x = 0 is a solution of the expression that was provided in the problem statement.
