Answer:
Certainly! I'd be happy to help you solve this equation.
$$ -3x^2 + 30x -90 = 0 $$
To solve this equation, we can start by factoring the left-hand side:
$$ -3x^2 + 30x -90 = (3x - 30)(x + 3) = 0 $$
This tells us that either $(3x - 30) = 0$ or $(x + 3) = 0$.
Solving for the first factor, we have:
$$ 3x - 30 = 0 $$
Solving for $x$, we get:
$$ x = 30/3 = 10 $$
Now, let's solve for the second factor:
$$ x + 3 = 0 $$
Solving for $x$, we get:
$$ x = -3 $$
So, the solutions to the equation are $x = 10$ and $x = -3$.
Answer: The solutions to the equation $-3x^2 + 30x -90 = 0$ are $x = 10$ and $x = -3$.
Explanation: