45k^2-20=0

Solution for 45k^2-20=0 equation:

Simplifying
45k2 + -20 = 0

Reorder the terms:
-20 + 45k2 = 0

Solving
-20 + 45k2 = 0

Solving for variable 'k'.

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

Add '20' to each side of the equation.
-20 + 20 + 45k2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 45k2 = 0 + 20
45k2 = 0 + 20

Combine like terms: 0 + 20 = 20
45k2 = 20

Divide each side by '45'.
k2 = 0.4444444444

Simplifying
k2 = 0.4444444444

Take the square root of each side:
k = {-0.666666667, 0.666666667}