Question

Find the value of xx that makes the following have exactly 1 solution:


5 (5x + 8) = 20x +4

Answer 1

To find the value of x that makes the equation have exactly 1 solution, we first simplify the equation:

5(5x + 8) = 20x + 4
25x + 40 = 20x + 4

Next, we want to isolate the x variable on one side of the equation:

25x - 20x = 4 - 40
5x = -36

Now, we divide both sides of the equation by 5 to solve for x:

(5x)/5 = (-36)/5
x = -36/5

So, the value of x that makes the equation have exactly 1 solution is x = -36/5.