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Simplifying
81k2 + -1 = 8
Reorder the terms:
-1 + 81k2 = 8
Solving
-1 + 81k2 = 8
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 81k2 = 8 + 1
Combine like terms: -1 + 1 = 0
0 + 81k2 = 8 + 1
81k2 = 8 + 1
Combine like terms: 8 + 1 = 9
81k2 = 9
Divide each side by '81'.
k2 = 0.1111111111
Simplifying
k2 = 0.1111111111
Take the square root of each side:
k = {-0.333333333, 0.333333333}
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