To use the quadratic formula, we need to express the equation in the standard form \( ax^2 + bx + c = 0 \).
Starting with the equation you provided:
\[ -3x^2 + 10x = -9 \]
We can move \(-9\) to the left side of the equation to set it to zero:
\[ -3x^2 + 10x + 9 = 0 \]
Now, we can identify the coefficients \( a\), \( b\), and \( c \):
- \( a = -3 \)
- \( b = 10 \)
- \( c = 9 \)
So, the values are:
- \( a = -3 \)
- \( b = 10 \)
- \( c = 9 \)