Final answer:
To solve the equation 15c²=96a, divide both sides by 15 and take the square root of both sides to obtain c=±√(96a/15).
Step-by-step explanation:
To solve the equation 15c²=96a, we need to isolate c. Divide both sides of the equation by 15 to obtain c²=96a/15. Then, take the square root of both sides to find c, giving us c=±√(96a/15).