Answer:
Step-by-step explanation:
If we roll a multiple of 5 we will get one of the following:
5, 10, 15 , 20.
None of these is a perfect square so they are mutually exlusive,
There is nothing in the space. If there were, then the space would not be blank.
we have

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares


therefore
the answer is

Answer:
x = 9
Step-by-step explanation:
Simplifying
6x + -24 = 2x + 12
Reorder the terms:
-24 + 6x = 2x + 12
Reorder the terms:
-24 + 6x = 12 + 2x
Solving
-24 + 6x = 12 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-24 + 6x + -2x = 12 + 2x + -2x
Combine like terms: 6x + -2x = 4x
-24 + 4x = 12 + 2x + -2x
Combine like terms: 2x + -2x = 0
-24 + 4x = 12 + 0
-24 + 4x = 12
Add '24' to each side of the equation.
-24 + 24 + 4x = 12 + 24
Combine like terms: -24 + 24 = 0
0 + 4x = 12 + 24
4x = 12 + 24
Combine like terms: 12 + 24 = 36
4x = 36
Divide each side by '4'.
x = 9
Simplifying
x = 9