(x-2)*(x+2)-(3x-1)^2/9=x+5/3
Expand the left side of the equation:(x^2 - 4) - ((9x^2 - 6x + 1) / 9) = x + 5/3
Simplify the equation:x^2 - 4 - (9x^2 - 6x + 1) / 9 = x + 5/39x^2 - 36 - 9x^2 + 6x - 1 = 9x + 56x - 37 = 9x + 5
Move x to the left side of the equation and constants to the right side:6x - 9x = 5 + 37-3x = 42
Divide by -3:x = -14
So, the solution to the equation is x = -14.
(x-2)*(x+2)-(3x-1)^2/9=x+5/3
Expand the left side of the equation:
(x^2 - 4) - ((9x^2 - 6x + 1) / 9) = x + 5/3
Simplify the equation:
x^2 - 4 - (9x^2 - 6x + 1) / 9 = x + 5/3
9x^2 - 36 - 9x^2 + 6x - 1 = 9x + 5
6x - 37 = 9x + 5
Move x to the left side of the equation and constants to the right side:
6x - 9x = 5 + 37
-3x = 42
Divide by -3:
x = -14
So, the solution to the equation is x = -14.