Solve: \( -7 x^{2}+10=185 \) \( x=3,-3 \) \( x=5,-5 \) \( x=3 \) I'm not sure.

To solve the equation \( -7x^{2} + 10 = 185 \), start by isolating the variable. Subtract 10 from both sides to get \( -7x^{2} = 175 \). Next, divide by -7, which gives you \( x^{2} = -25 \). This indicates that there are no real solutions since you can't take the square root of a negative number. Hence, the solutions are imaginary: \( x = 5i \) and \( x = -5i \). While it's important to follow the order of operations, many people forget to check if their final solutions make sense within the context of the equation you're dealing with. If you end up with a negative value under the square root while simplifying, it's a sign that you should expect complex solutions rather than real ones. So, always double-check the math and ask yourself: "Does this make sense?"