Question

4x (x-1)=(2x+5)(2x-5)+1

Answer 1

4x2-4x=(4x2-10x+10x-25)+1
-4x=-24
X=6

Answer 2

To solve the equation 4x(x-1) = (2x+5)(2x-5) + 1, follow these steps:

1. Start by expanding both sides of the equation to simplify it:

   4x(x-1) = (2x+5)(2x-5) + 1

   4x^2 - 4x = 4x^2 - 25 + 1

2. Now, combine like terms on both sides of the equation:

   4x^2 - 4x = 4x^2 - 24

3. Subtract 4x^2 from both sides to isolate the x term on the left side:

   -4x = -24

4. Divide both sides by -4 to solve for x:

   x = 24 / 4

5. Simplify the right side:

   x = 6

So, the solution to the equation is x = 6.