Make sure that all of the terms are on the same side of the equation.
- 2, 2
Practice makes perfect
To solve the given equation by factoring, we will start by rewriting it, so that all terms are on the left side of the equality sign.
100=25x^2 ⇔ 100-25x^2=0
Notice that this equation follows a special pattern. It can be factored as a difference of squares. Let's factor the equation!
We found that the solutions to the given equation are x=- 2 and x=2. To check our answer, we will graph the related function, y=100-25x^2, using a calculator.
We can see that the x-intercepts are - 2 and 2. Therefore, our solutions are correct.
