What are the solutions to the quadratic equation 0x² + 6x + 8?

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The quadratic equation you’re looking at is given by:

0x² + 6x + 8 = 0

However, it’s important to point out that the term ‘0x²’ essentially means that the equation is not a quadratic equation in the conventional sense, as any expression multiplied by zero yields zero, which leads us to focus on the linear aspects.

In more conventional terms, the equation simplifies to:

6x + 8 = 0

Now, let’s solve for x. We can do this by isolating the variable:

  1. Start by subtracting 8 from both sides:
    2. 6x = -8
  2. Next, divide both sides by 6:
    3. x = -8/6
  3. Finally, simplify the fraction:
    4. x = -4/3

Thus, the solution to the equation is:

x = -4/3

In conclusion, this equation yields a single solution, as it is linear rather than quadratic. Therefore, the only root of the equation is:

x = -1.33 (approximately)

Feel free to reach out for further clarification or any additional questions you may have!

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