Let's start by simplifying both sides of the equation:
15 + 6x(2 - 3x) = 9x(5 - 2x) - 36
15 + 12x - 18x^2 = 45x - 18x^2 - 36
Now, let's combine like terms:
12x - 18x^2 = 45x - 18x^2 - 36
-6x - 36 = 45x - 18x^2 - 36
Next, let's move all terms to one side of the equation:
-6x - 36 - 45x + 18x^2 + 36 = 0
18x^2 - 51x = 0
Now, let's factor out an x:
x(18x - 51) = 0
Now, we set each factor to zero:
x = 0
18x - 51 = 018x = 51x = 51/18x = 17/6
Therefore, the solutions to the equation are x = 0 and x = 17/6.
Let's start by simplifying both sides of the equation:
15 + 6x(2 - 3x) = 9x(5 - 2x) - 36
15 + 12x - 18x^2 = 45x - 18x^2 - 36
Now, let's combine like terms:
12x - 18x^2 = 45x - 18x^2 - 36
-6x - 36 = 45x - 18x^2 - 36
Next, let's move all terms to one side of the equation:
-6x - 36 - 45x + 18x^2 + 36 = 0
18x^2 - 51x = 0
Now, let's factor out an x:
x(18x - 51) = 0
Now, we set each factor to zero:
x = 0
18x - 51 = 0
18x = 51
x = 51/18
x = 17/6
Therefore, the solutions to the equation are x = 0 and x = 17/6.