1 Answer
A zero equation is an equation where the solution results in zero, or the equation itself simplifies to zero. In other words, the left-hand side and right-hand side of the equation both equal zero.
For example:
- **2x - 4 = 0**: This is a zero equation because the equation equals zero when solved for \( x \).
- Solving for \( x \), we get \( x = 2 \).
Another example is an equation that is already in the form of zero:
- **0 = 0**: This is trivially a zero equation because both sides are equal to zero.
In the context of solving equations, zero equations often refer to equations where the solution is zero, or where the equation itself simplifies to something that equals zero.
For example:
- **2x - 4 = 0**: This is a zero equation because the equation equals zero when solved for \( x \).
- Solving for \( x \), we get \( x = 2 \).
Another example is an equation that is already in the form of zero:
- **0 = 0**: This is trivially a zero equation because both sides are equal to zero.
In the context of solving equations, zero equations often refer to equations where the solution is zero, or where the equation itself simplifies to something that equals zero.