Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
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I am not entirely sure what kind of equation you want to solve. Anyway, if an expression has an exponent of zero, the entire expression is usually equal to 1 (unless you raise zero to the power zero; that's undefined). Perhaps that can help you simplify the expression. For example: if you have an equation such as (x+y+z)0 + 5x + 3 = 10 The entire left expression, (x+y+z)0 can be replaced with 1, thus simplifying the equation.
A horizontal line has a slope of zero. The equation of a horizontal line is y = a.
That its roots (solutions) are coincident.
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.
Technically is can be anything you want it to be since you did not equate this expression to any value.