s^2-45+8=0

Solution for s^2-45+8=0 equation:

Simplifying
s2 + -45 + 8 = 0

Reorder the terms:
-45 + 8 + s2 = 0

Combine like terms: -45 + 8 = -37
-37 + s2 = 0

Solving
-37 + s2 = 0

Solving for variable 's'.

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

Add '37' to each side of the equation.
-37 + 37 + s2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + s2 = 0 + 37
s2 = 0 + 37

Combine like terms: 0 + 37 = 37
s2 = 37

Simplifying
s2 = 37

Take the square root of each side:
s = {-6.08276253, 6.08276253}