Sure! Let's break down the equation w=-2 –(4w)^2 + 11w = step by step, just like solving a puzzle. To make it easier to understand, we will use examples and simple explanations:
First, we see that the equation has three terms separated by the equal sign (=). Each term contains a variable 'w', which is like a mystery number we need to find.
1. The first term is '-2'. This means that we start with 'w' being equal to -2. Imagine you have 2 pieces of candy, but they have a negative value, so you owe 2 candies to someone.
2. The second term is -(4w)^2. Let's simplify it by breaking it down step by step. First, multiply 4 by 'w' (which is the mystery number we're trying to find). So, it becomes 4w. Then, squaring it means multiplying this result by itself: (4w) x (4w) = 16w^2.
3. The third term is 11w. This means we have 11 times the mystery number 'w'. So, imagine you have 11 apples, and you want to find out how many apples each person gets if you divide them evenly.
Now, let's put it all together by substituting the values back into the equation and simplifying it step by step. This way, we can see how 'w' is determined by balancing the equation.