To solve the equation \(-9.72x^2 = 0\), we can follow these steps:
Isolate the variable: We can divide both sides by -9.72, but since multiplying or dividing by a non-zero constant doesn't change the equality and in this case results in zero:
\[ x^2 = 0 \]
Solving for \(x\): We take the square root of both sides:
\[ x = 0 \]
So, the solution to the equation \(-9.72x^2 = 0\) is:
\[ x = 0 \]