4s^2-1=225

Solution for 4s^2-1=225 equation:

Simplifying
4s2 + -1 = 225

Reorder the terms:
-1 + 4s2 = 225

Solving
-1 + 4s2 = 225

Solving for variable 's'.

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

Add '1' to each side of the equation.
-1 + 1 + 4s2 = 225 + 1

Combine like terms: -1 + 1 = 0
0 + 4s2 = 225 + 1
4s2 = 225 + 1

Combine like terms: 225 + 1 = 226
4s2 = 226

Divide each side by '4'.
s2 = 56.5

Simplifying
s2 = 56.5

Take the square root of each side:
s = {-7.516648189, 7.516648189}