Final answer:
The equation 3x²=4x+8 is written in the form ax²+bx+c=0 by subtracting 4x and then 8 from both sides, resulting in the equation 3x²-4x-8=0, where a=3, b=-4, and c=-8.
Step-by-step explanation:
To write the equation 3x²=4x+8 in the form ax+bx+c=0, we need to subtract 4x and 8 from both sides to get all terms on one side of the equal sign. After rearranging, the equation will take the form ax²+bx+c=0.
We start by subtracting 4x from both sides:
3x² - 4x = 8
Next, we subtract 8 from both sides to get:
3x² - 4x - 8 = 0
This is now in the desired form, where the values of a, b, and c are identified as follows:
Note that while the question has been fully addressed, we do not solve the equation as per the student's instruction.