r^2-45=-5-6

Solution for r^2-45=-5-6 equation:

Simplifying
r2 + -45 = -5 + -6

Reorder the terms:
-45 + r2 = -5 + -6

Combine like terms: -5 + -6 = -11
-45 + r2 = -11

Solving
-45 + r2 = -11

Solving for variable 'r'.

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

Add '45' to each side of the equation.
-45 + 45 + r2 = -11 + 45

Combine like terms: -45 + 45 = 0
0 + r2 = -11 + 45
r2 = -11 + 45

Combine like terms: -11 + 45 = 34
r2 = 34

Simplifying
r2 = 34

Take the square root of each side:
r = {-5.830951895, 5.830951895}