Solve using the multiplication principle. Don't forget to check. \( -10 x=100 \)

To solve the equation \( -10 x = 100 \), you'll want to isolate \( x \). You do this by dividing both sides of the equation by -10. So, \[ x = \frac{100}{-10} \] This simplifies to \[ x = -10. \] Now, let’s check our solution by plugging \( x = -10 \) back into the original equation: \[ -10(-10) = 100 \rightarrow 100 = 100. \] Since both sides are equal, our solution is verified! For a quick note, always remember that when multiplying or dividing by a negative number, the direction of the inequality will flip if you are working with inequalities. So, stay alert with those signs! Another fun fact: the multiplication principle works wonders for equations, but be cautious, as it can lead to "extraneous solutions" in some cases, especially in equations involving roots or fractions! Always check your solution to avoid those pesky pitfalls.