Final answer:
The expression provided is not a quadratic but a cubic one; the student may be confused or the question posed incorrectly. For a true quadratic equation, solutions can be found with the quadratic formula by substituting the coefficients a, b, and c.
Step-by-step explanation:
The provided expression 4c^3+8c^2-9c-18 is not a quadratic equation, as it features a cubic term (c^3). However, if the student is asking for solutions to a quadratic equation, the quadratic formula would be applicable, which is -b ± √(b^2 - 4ac) / (2a), where a, b, and c are coefficients of the terms in the quadratic equation at^2 + bt + c = 0.
For example, if we had a quadratic equation with coefficients a = 4.90, b = -14.3, and c = -20.0, the solutions would be obtained by substituting the values into the quadratic formula. Additionally, for a different equation with coefficients a = 1, b = 0.0211, and c = -0.0211, the solutions would be calculated similarly using the quadratic formula.