Let's simplify the equation:

1.2x(5x+4) - (1/3)x(6x-3) - 9.8 = 0
Expand the terms:

6x^2 + 4.8x - 2x^2 + x - 9.8 = 0
Combine like terms:

4x^2 + 5.8x - 9.8 = 0
This is a quadratic equation in standard form. To solve for x, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case:
a = 4, b = 5.8, c = -9.8

Plug the values into the formula:

x = (-5.8 ± √(5.8² - 44(-9.8))) / 2*4
x = (-5.8 ± √(33.64 + 156.8)) / 8
x = (-5.8 ± √190.44) / 8
x = (-5.8 ± 13.804) / 8

Therefore, the solutions for x are:

x = (-5.8 + 13.804) / 8 ≈ 1.3
x = (-5.8 - 13.804) / 8 ≈ -2.008

So, the solutions for the equation are x ≈ 1.3 and x ≈ -2.008.