Final answer:
To divide ((-2x-3+8x²)) by ((1+4x)), rearrange the equation into a quadratic form and solve using the quadratic equation. The correct answer is A. (2x - 12).
Step-by-step explanation:
To divide ((-2x-3+8x²)) by ((1+4x)), we can rearrange the equation into a quadratic form. So we have (-2x-3+8x²) ÷ (1+4x) = 0. Rearranging and solving this quadratic equation, we get (8x² + 2x - 3) ÷ (1+4x) = 0. Now we can use the quadratic equation to find the two possible values of x.
Solving the quadratic equation, we get x = 0.0216 or x = -0.0224. Therefore, the correct answer is A. (2x - 12).