-k^2-1+7=-43

Solution for -k^2-1+7=-43 equation:

Simplifying
-1k2 + -1 + 7 = -43

Reorder the terms:
-1 + 7 + -1k2 = -43

Combine like terms: -1 + 7 = 6
6 + -1k2 = -43

Solving
6 + -1k2 = -43

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1k2 = -43 + -6

Combine like terms: 6 + -6 = 0
0 + -1k2 = -43 + -6
-1k2 = -43 + -6

Combine like terms: -43 + -6 = -49
-1k2 = -49

Divide each side by '-1'.
k2 = 49

Simplifying
k2 = 49

Take the square root of each side:
k = {-7, 7}