Explanation :
To find the sum of the equation 5x² + 3x + 8 = 0, we need to find the sum of the solutions, which can be done using the formula for the sum of the roots of a quadratic equation.
The sum of the roots can be calculated using the formula:
Sum of roots = - (coefficient of x) / (coefficient of x²)
In this case, the coefficient of x is 3 and the coefficient of x² is 5. So, we have:
Sum of roots = -3 / 5
Therefore, the sum of the solutions is -3/5
Answer : -3/5