Let's first expand the expression and simplify:
6x(x+2) - 0.5(12x² - 7x) - 31 = 06x^2 + 12x - 6x^2 + 3.5x - 31 = 012x + 3.5x - 31 = 015.5x - 31 = 015.5x = 31x = 31 / 15.5x = 2
Therefore, the solution to the equation 6x(x+2) - 0.5(12x² - 7x) - 31 = 0 is x = 2.
Let's first expand the expression and simplify:
6x(x+2) - 0.5(12x² - 7x) - 31 = 0
6x^2 + 12x - 6x^2 + 3.5x - 31 = 0
12x + 3.5x - 31 = 0
15.5x - 31 = 0
15.5x = 31
x = 31 / 15.5
x = 2
Therefore, the solution to the equation 6x(x+2) - 0.5(12x² - 7x) - 31 = 0 is x = 2.