Final answer:
To write the equation in general form, subtract x² from both sides to get 3x² + 7 = -4x + 8. Then, add 4x to both sides to get 3x² + 4x + 7 = 8.
Step-by-step explanation:
To write the equation in general form, we need to get all the terms on one side of the equation and combine like terms.
First, let's subtract x² from both sides: 4x² + 7 - x² = x² - 4x + 8 - x².
This simplifies to 3x² + 7 = -4x + 8.
Next, let's add 4x to both sides: 3x² + 4x + 7 = 8.
The equation is now in general form.