1=0.0625k^2

Solution for 1=0.0625k^2 equation:

Simplifying
1 = 0.0625k2

Solving
1 = 0.0625k2

Solving for variable 'k'.

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

Add '-0.0625k2' to each side of the equation.
1 + -0.0625k2 = 0.0625k2 + -0.0625k2

Combine like terms: 0.0625k2 + -0.0625k2 = 0.0000
1 + -0.0625k2 = 0.0000

Add '-1' to each side of the equation.
1 + -1 + -0.0625k2 = 0.0000 + -1

Combine like terms: 1 + -1 = 0
0 + -0.0625k2 = 0.0000 + -1
-0.0625k2 = 0.0000 + -1

Combine like terms: 0.0000 + -1 = -1
-0.0625k2 = -1

Divide each side by '-0.0625'.
k2 = 16

Simplifying
k2 = 16

Take the square root of each side:
k = {-4, 4}