Solve the equation $$−3x2​+5=−4.

The given equation is -3x^2 + 5 = -4.

Step 1: Subtract 5 from both sides of the equation to isolate the term with x.

-3x^2 + 5 - 5 = -4 - 5

This simplifies to:

-3x^2 = -9

Step 2: Divide both sides of the equation by -3 to solve for x^2.

(-3x^2) / -3 = -9 / -3

This simplifies to:

x^2 = 3

Step 3: Take the square root of both sides to solve for x. Remember that the square root of a number y is both the positive and negative number that, when squared, equals y.

x = sqrt(3) and x = -sqrt(3)

So, the solutions to the equation are x = sqrt(3) and x = -sqrt(3).