Let's simplify the equation step by step:
(3x + 4)(4x - 3) - 5 = (2x + 5)(6x - 7)
Expand the left side of the equation:
12x^2 - 9x + 16x - 12 - 5 = (2x + 5)(6x - 7)
Combine like terms:
12x^2 + 7x - 17 = (2x + 5)(6x - 7)
Expand the right side of the equation:
12x^2 - 14x + 30x - 35 = 12x^2 - 14x + 30x - 35
12x^2 + 16x - 35 = 12x^2 + 16x - 35
Since the left side of the equation is equal to the right side after simplification, the equation is true for all values of x. The given equation is verified.
Let's simplify the equation step by step:
(3x + 4)(4x - 3) - 5 = (2x + 5)(6x - 7)
Expand the left side of the equation:
12x^2 - 9x + 16x - 12 - 5 = (2x + 5)(6x - 7)
Combine like terms:
12x^2 + 7x - 17 = (2x + 5)(6x - 7)
Expand the right side of the equation:
12x^2 - 14x + 30x - 35 = 12x^2 - 14x + 30x - 35
Combine like terms:
12x^2 + 16x - 35 = 12x^2 + 16x - 35
Since the left side of the equation is equal to the right side after simplification, the equation is true for all values of x. The given equation is verified.