Expanding the left side of the equation:
(2x-3)(2x+3) = 4x^2 + 6x - 6x - 9 = 4x^2 - 9
Substitute this back into the equation:
4x^2 - 9 - x^2 = 12x - 69 + 3x^2
Combine like terms on the right side:
3x^2 - 9 = 15x - 69
Rearrange the equation to set it to zero:
3x^2 - 15x + 60 = 0
Divide by 3:
x^2 - 5x + 20 = 0
This quadratic equation does not have real solutions as the discriminant is negative.
Expanding the left side of the equation:
(2x-3)(2x+3) = 4x^2 + 6x - 6x - 9 = 4x^2 - 9
Substitute this back into the equation:
4x^2 - 9 - x^2 = 12x - 69 + 3x^2
Combine like terms on the right side:
3x^2 - 9 = 15x - 69
Rearrange the equation to set it to zero:
3x^2 - 15x + 60 = 0
Divide by 3:
x^2 - 5x + 20 = 0
This quadratic equation does not have real solutions as the discriminant is negative.