Explanation:
To find all values of "a" that satisfy the quadratic equation a * x ^ 2 + 3x - 6 = 0 you can use the quadratic formula:
x = (- b plus/minus sqrt(b ^ 2 - 4ac)) / (2a)
Comparing the equation to the standard quadratic form a * x ^ 2 + bx + c = 0 we can determine that:
a = a
b = 3
c = - 6
Substituting these values into the quadratic formula, you can solve for "a" by finding the values of "x" that satisfy the equation.