Final answer:
To solve mathematical equations, you can substitute the given solutions back into the equation and solve for remaining unknowns. Sometimes, solving for x when it equals 0 can be helpful. Both sides of the equation must be treated equally when applying mathematical operations.
Step-by-step explanation:
When solving a mathematical equation with unknown values, it is common to substitute the given solutions back into the equation to verify their validity.
This allows us to solve for any remaining unknowns. For example, if you have an equation x = r₀ and you are given the values for r₁ and r₂, you can substitute these values into the equation and solve for x.
Additionally, there are situations where you can solve for x when x = 0. It is important to carefully apply mathematical operations to both sides of the equation to maintain balance.