Expanding the terms, we get:
(4x+1)(x+5) = 4x^2 + 20x + x + 5 = 4x^2 + 21x + 5
(2x+1)(2x-3) = 4x^2 - 6x + 2x - 3 = 4x^2 - 4x - 3
Substitute these into the equation:
(4x^2 + 21x + 5) - (4x^2 - 4x - 3) = 58
4x^2 + 21x + 5 - 4x^2 + 4x + 3 = 58
Combine like terms:
25x + 8 = 58
Subtract 8 from both sides:
25x = 50
Divide by 25:
x = 2
Therefore, the solution to the equation is x = 2.
Expanding the terms, we get:
(4x+1)(x+5) = 4x^2 + 20x + x + 5 = 4x^2 + 21x + 5
(2x+1)(2x-3) = 4x^2 - 6x + 2x - 3 = 4x^2 - 4x - 3
Substitute these into the equation:
(4x^2 + 21x + 5) - (4x^2 - 4x - 3) = 58
4x^2 + 21x + 5 - 4x^2 + 4x + 3 = 58
Combine like terms:
25x + 8 = 58
Subtract 8 from both sides:
25x = 50
Divide by 25:
x = 2
Therefore, the solution to the equation is x = 2.