what is the solution

Solve for x:
x^2 + 24 = 0

Isolate terms with x to the left-hand side.
Subtract 24 from both sides:
x^2 = -24

Eliminate the exponent on the left-hand side.
Take the square root of both sides:

x = 2 i sqrt(6)     or         x = -2 i sqrt(6)