To solve the quadratic equation \(-3x^2 + 5x - 7 = 0\), we can use the quadratic formula:
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
Here, \(a = -3\), \(b = 5\), and \(c = -7\).
First, calculate the discriminant \(b^2 - 4ac\):
\[ b^2 = 5^2 = 25 \] \[ 4ac = 4 \cdot (-3) \cdot (-7) = 12 \cdot 7 = 84 \] \[ b^2 - 4ac = 25 - 84 = -59 \]
Since the discriminant is negative (\(-59\)), there are no real solutions.
Therefore, we remove all boxes.