To solve this equation, we first need to expand the expression using the distributive property:
(5x - 8)(3x + 18)(5.6 - 0.8x) = (5x - 8)(3x + 18)(5.6) - (5x - 8)(3x + 18)(0.8x)
Expanding further:
= (15.6x^2 + 89.6x - 26.4) - (12x^2 + 68x - 19.2)
Next, combine like terms:
15.6x^2 + 89.6x - 26.4 - 12x^2 - 68x + 19.2 = 3.6x^2 + 21.6x - 7.2
So the equation becomes:
3.6x^2 + 21.6x - 7.2 = 0
Now, we can solve this quadratic equation by factoring, using the quadratic formula, or by completing the square.
To solve this equation, we first need to expand the expression using the distributive property:
(5x - 8)(3x + 18)(5.6 - 0.8x) = (5x - 8)(3x + 18)(5.6) - (5x - 8)(3x + 18)(0.8x)
Expanding further:
= (15.6x^2 + 89.6x - 26.4) - (12x^2 + 68x - 19.2)
Next, combine like terms:
15.6x^2 + 89.6x - 26.4 - 12x^2 - 68x + 19.2 = 3.6x^2 + 21.6x - 7.2
So the equation becomes:
3.6x^2 + 21.6x - 7.2 = 0
Now, we can solve this quadratic equation by factoring, using the quadratic formula, or by completing the square.