Expanding both sides of the equation:
Left side(6x-1)^2 - 3x(9x-2= (6x-1)(6x-1) - 27x^2 + 6= 36x^2 - 6x - 6x + 1 - 27x^2 + 6= 9x^2 + 1
Right side(3x+4)^= (3x+4)(3x+4= 9x^2 + 12x + 12x + 1= 9x^2 + 24x + 16
Therefore, the equation simplifies to9x^2 + 1 = 9x^2 + 24x + 16
Since the x^2 terms are equal, we can solve for x:
1 = 24x + 11 - 16 = 24-15 = 24x = -15/2x = -5/8
So, the solution to the equation is x = -5/8.
Expanding both sides of the equation:
Left side
(6x-1)^2 - 3x(9x-2
= (6x-1)(6x-1) - 27x^2 + 6
= 36x^2 - 6x - 6x + 1 - 27x^2 + 6
= 9x^2 + 1
Right side
(3x+4)^
= (3x+4)(3x+4
= 9x^2 + 12x + 12x + 1
= 9x^2 + 24x + 16
Therefore, the equation simplifies to
9x^2 + 1 = 9x^2 + 24x + 16
Since the x^2 terms are equal, we can solve for x:
1 = 24x + 1
1 - 16 = 24
-15 = 24
x = -15/2
x = -5/8
So, the solution to the equation is x = -5/8.